Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

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Question 958125: If the radius of a circular solar cell is increased by a factor of 1.7, the area of the cell increases by 53
cm2
. Find the radius (in cm) of the new solar cell.

Click here to see answer by Theo(13342) About Me 

Question 958105: Determine a polynomial function that has each set of zeros.
3/4, -3, -4, -2/3
Please show all steps so I can learn how to do this type of problem. Thanks!

Click here to see answer by Fombitz(32388) About Me 

Question 958104: Find a polynomial function of degree n with only the following real zeros.
3; n=3

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Question 958246: HOW DO I SOLVE THESE 3 QUESTIONS? AND WHAT ARE THE ANSWERS?
1.Choose values for n and x so that n *square root sign* of x is
a) a whole number

b) a rational number

c) an approximate decimal

2) Simplify the following. Simplified answers need to be written with positive exponents
a) 3x^4 5x^6
b) 3x^5/9x^-4
c) 1/5a^-3

3) Simplify the following. Simplified answers need to be written with positive exponents
a) (3a^3b^-2)^2(15a^-2b^3)
b) 10a^2(a^3)^2/2a
c) (-2xy^4)^3

Click here to see answer by stanbon(75887) About Me 

Question 958292: Which value of x makes the expression below equivalent to 18√47?
9√47x
A. 2
B. 36
C. 4
D. 324

Choose the correct comparison for the numbers below
0.57 , 9/19, 110%
A) 9/19 < 0.57 < 110%
B) 9/19 > 110% > 0.57
C) 0.57 < 9/19 < 110%
D) 110% > 9/19 > 0.57

Click here to see answer by Alan3354(69443) About Me 

Question 958290: I am currently working on differences of square and grouping in the greatest common factor my current problem I don't understand is 4x squares minus 121
Click here to see answer by josgarithmetic(39616) About Me 

Question 958353: Form a polynomial 
f(x)with real coefficients having the given degree and zeros.
Degree 4; zeros: −4−3i; −5 
multiplicity 2
f(x)=a(....)

Click here to see answer by josgarithmetic(39616) About Me 

Question 958377: Form a polynomial 
f(x)with real coefficients having the given degree and zeros.
Degree 4; zeros: −4−3i; −5multiplicity 2
in simplest terms f(x)=a(....)
(x+4+3i)(x+4-3i)(x-(-5))^2 that's what I have so far, but don't know how to properly distribute

Click here to see answer by josgarithmetic(39616) About Me 

Question 958491: If f(c)=0, which of the following statements must be true?
a. The point (-c,0) lies on the graph of f(x).
b. x + c divides evenly into f(x).
c. x-c is a factor of f(x).
d. The point (0,c) lies on the graph of f(x).

(please help thank you, multiple choice question)

Click here to see answer by MathLover1(20849) About Me 

Question 958624: I am confused about polynomial division & synthetic division:
My question is written in fractional form: (4x^2 - 6x) / (x-2)

Click here to see answer by stanbon(75887) About Me 

Question 959005: identify the factors of the polynomial function 32x^3 - 108 =0
Click here to see answer by Fombitz(32388) About Me 

Question 959008: what is the end behavior of h(x) = x^5+4x^2+2 as x approaches negative infinity
Click here to see answer by stanbon(75887) About Me 

Question 959012: What is the maximum number of roots for f(x) = -2x^4+3x^3+5x^2-17x+1
Click here to see answer by Fombitz(32388) About Me 

Question 958923: When you go to the store the item you want to buy is 18% off. What is the percent that you will pay for the item
Click here to see answer by Edwin McCravy(20054) About Me 

Question 959108: Solve: (6x^1000 -17x^562 + 12x + 26)/( x + 1)
I know I have to use a theorem or two, I am just confused on what theorem and how to use it.

Click here to see answer by stanbon(75887) About Me 

Question 959223: Hello!
Is x - 1 a factor of x^567 - 3x^400 + x^9 + 2 ?
How would I know if it is or isn't?
Thanks!

Click here to see answer by Alan3354(69443) About Me 

Question 959245: Having a lot of difficulty visualizing this don't know where to put the exponents could really use explanations:
The function f is a fifth-degree polynomial with
the x-intercepts -5, 2, and 10,
y-intercept 500 and
f (x) ≥ 0 for x ≤ 10.
Find f (x).
f (x) =
I don't understand what f(x)≥0 for x≤10 means, please explain that and how to solve for the rest.
Thank you

Click here to see answer by MathLover1(20849) About Me 

Question 959138: Using positive expoents only is this equation true or false p^6p/p^-2=p^-9
Click here to see answer by jim_thompson5910(35256) About Me 

Question 959333: From Glencoe Alg I 10-4 #4 word problem. I have spent over a day with this one.
Firefighting. Firefighters calculate the flow rate of water out of a particular hydrant by the following formula: Flow rate = 26.9 x d^2 x sqrt P. P is nozzle pressure and d is hose diameter. The combined flow rate of two hoses is 2430 gpm. The diameter of each hose is 3 inches but the pressure of one hose is 4 times that of the other. What are the nozzle pressures of each hose?
I have the answer key and it says 11.2 and 44.8 psi. For the life of me, regardless of how I manipulate the formula, I cannot come up with this answer.Can you show me the setup of the formula?

Click here to see answer by rothauserc(4718) About Me 

Question 959484: How do you main the leading coefficient of the polynomial:
P(x)=A(x+1)^2(x-1)^3(x-2)
I know the Y-intercept is P(0)=-2 but what do I after that?
Thanks

Click here to see answer by josgarithmetic(39616) About Me 

Question 959493: Please help me solve this equation. X^5 × x^6
Click here to see answer by jim_thompson5910(35256) About Me 

Question 959656: Write the polynomial in standard form. Identify the leading coefficient. 5x+x^2+6
Click here to see answer by MathLover1(20849) About Me 

Question 959657: My assignment says to "factor each completely" and the first question is 27p%28squared%29-48 I have no idea how to factor this or where I should begin. If you could take me step by step that would be great. thank you for your time.
Click here to see answer by josgarithmetic(39616) About Me 
Question 959657: My assignment says to "factor each completely" and the first question is 27p%28squared%29-48 I have no idea how to factor this or where I should begin. If you could take me step by step that would be great. thank you for your time.
Click here to see answer by MathTherapy(10551) About Me 

Question 959787: The question is simplify:
2/4xy + 14/3xy - 9/2xy
When I did it, I got the answer 2/3xy, but the book says it's 11/12xy. Where did I go wrong?

Click here to see answer by Fombitz(32388) About Me 

Question 959870: a2+2ab-3b2
Click here to see answer by Alan3354(69443) About Me 

Question 959972: The large leg of a right triangle is 1 cm longer than its smaller leg. The hypotenuse is 2 cm longer than the smaller leg. How many centimeters long is the smaller leg?
Click here to see answer by josgarithmetic(39616) About Me 

Question 959985: What is the largest of 4 consecutive positive integers if product of the middle two integers is 2 more than 7 times the smallest integer?
Click here to see answer by stanbon(75887) About Me 

Question 960057: -2x-99+x^2
Click here to see answer by josmiceli(19441) About Me 

Question 960226: Solve the equation 3x^2-192=0 by finding the square root. If the equation has no solution , write no solution.
Click here to see answer by macston(5194) About Me 

Question 960413: Hello. I am trying to solve
f(x)=(x-2)(x-3)to the second power.
I know the answer is x to the third power -8x to the second power +21x-18
But I have no idea why.
Could you help please?
Thanks!!

Click here to see answer by Fombitz(32388) About Me 

Question 960373: The length of a rectangle is 1cm greater than twice its width. The area of the rectangle is 120cm^2.
Find the length and width.

Click here to see answer by Alan3354(69443) About Me 

Question 960479: (6p^2+4 p+5)-(2p^2-5 p+1)
Click here to see answer by MathLover1(20849) About Me 

Question 960478: Solve please and thank you. (4x^2 -x+4)=(2x^2=5x+2)
Click here to see answer by MathLover1(20849) About Me 

Question 960497: Please help on my algebra question I'm really stuck!
1. The length of a rectangular garden is three feet shorter than twice its width. Write a simplified expression for the area of the garden
I need to know how many square feet it is.

Click here to see answer by MathLover1(20849) About Me 

Question 960515: Hello I need some help with my math homework. I have to factor this polynomial completely. I am stuck and I need some help I have w^2(power) + 30w + 81 now I know I have to find the GCF butI dont know what to do from there, can you help me please?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 960518: How do you factor this special case polynomial?
4d squared + 36d + 81

Click here to see answer by jim_thompson5910(35256) About Me 

Question 960623: please help -2(x^2+3x^3y)-3(-xy^3+2x^2-1)
Click here to see answer by MathLover1(20849) About Me 

Question 960624: (12k^2+16k-21)+(-k^2+4k-13)-(-5k^2+k+5)
Click here to see answer by MathLover1(20849) About Me 

Question 960622: (-6h^2-14h)-(-2h^2+9h-11)
Click here to see answer by MathLover1(20849) About Me 

Question 960621: (4x2-x+4)+(2x^2+5x+2)
Click here to see answer by MathLover1(20849) About Me 

Question 960689: 3(4x-2xy)+2(x-3xy+4y)
Click here to see answer by jim_thompson5910(35256) About Me 

Question 960694: find the difference quotient f(x+h)-f(x)/h if f(x)= 7x-4
Click here to see answer by josgarithmetic(39616) About Me 

Question 960702: Hello I need some help figuring this out (2v^2-7v-6) + (-4v +1) Im having a hard time figuring out when to change the negative to positve, can you help me please
Click here to see answer by josgarithmetic(39616) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105