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

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Question 1050184: Please help with this problem.
A rectangle parking space is m feet wide and n feet long. In the new design for the parking lot, each space will have its width increased by 1 foot and it's length increased by 20%.
A. Write a polynomial to represent the area of the new parking space.
B. Shoshanna says that the area of each new parking space is 20% larger than the area of the old parking space. Is this correct? Use the polynomial you wrote in part A to explain why or why not.
Thank you so much in advance, please show all work and explain how you got your answer.
Click here to see answer by advanced_Learner(501)

Question 1050236: I need help on writing polynomial expressions of the volume and surface areas of some figures. I've already tried what I can (we didn't cover this well in class so I'm lost).
1) Rectangular prism. Length = 3b; width = b+1; height = b-5
2) Cone. Height = 12n; radius = n-2
3) Pyramid. Lenght = k-2; width = 2k+3; height = 3k
4) Rectangular prism. Length = 2x+1; width = x+3; height =2x
5) Cylinder. Height = w+3; radius = w-1
6) This last one is a 3D triangle...forgot what it's called. Height = 2y; width = 2y+1 ; length = 3y; the sloping thing is y+3
Please help, I really need to figure out how to do this as we didn't do this well in class and I don't understand.
Click here to see answer by ikleyn(52778)

Question 1050175: Please help with this.
A box is a cube with edges that measure 2 feet. The sides of the triangle inside the cube are a diagnol of a face, an edge, and a segment with endpoints at opposite corners of the cube. The triangle is a right triangle with leg lengths 2 and √2^3. Write the are of the triangle as the number 2 with a rational exponent.
Thank you in advance and please explain how you got the answer and show all work.
Click here to see answer by ikleyn(52778)

Question 1050396: Assume that x=2 is a zero of f(x)=x^2+3kx+2k^2 (that is, f(2)=0). Find the value(s) of k.
Could you please show the steps and explain how you got there??
This is a question to help me better understand what I missed in class the other day; I have a quiz tomorrow! Please help!
Thank you!
Click here to see answer by jim_thompson5910(35256)

Question 1050414: The sum of the numbers is 72. The difference between the largest and smallest is 32. The product of the three numbers is 3400. What are the three numbers?
Click here to see answer by advanced_Learner(501)

Question 1050426: The shortest side of a right triangle measures 6m. The length of the other two sides are consecutive even integers. Find the lengths of the other two sides
Click here to see answer by advanced_Learner(501)

Question 1050453: 35x^4+2x^2-1=0
What is the value of x?
Click here to see answer by ikleyn(52778)

Question 1050570: Please factor f(x) as a product of linear factors given the zeros x={5+i, 5-i, 4/9}
f(x)=9x^3-94x^2+274x-104
thank you :)
Click here to see answer by josgarithmetic(39617)

Question 1050582: The freshman class is planning a field trip to the American Museum of Science and Energy in Oak Ridge. The cost for 12 students is $36 and the cost for 25 students is $75.
Which equation shows how the cost, y, is related to the number of students,x?
F y = x H = 12x + 36
G y = 3x J = y = 25x + 12
Click here to see answer by Fombitz(32388)

Question 1050757: Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f.
Degree 4; zeros: i, 1 + i
Click here to see answer by josgarithmetic(39617)

Question 1050756: Form a polynomial f(x) with real coefficients having the given degree and zeros.
Degree: 3; zeros: -3 and 3 - 2i
Click here to see answer by ewatrrr(24785)

Question 1050756: Form a polynomial f(x) with real coefficients having the given degree and zeros.
Degree: 3; zeros: -3 and 3 - 2i
Click here to see answer by josgarithmetic(39617)

Question 1050754: Form a polynomial f(x) with real coefficients having the given degree and zeros.
Degree: 3; zeros: -2 and 3 + i.
Click here to see answer by ewatrrr(24785)

Question 1050753: Form a polynomial f(x) with real coefficients having the given degree and zeros.
Degree: 5; zeros: 2, -3i, and 4 - i
Click here to see answer by ewatrrr(24785)

Question 1050775: What is the polynomial fx of degree 4 with real coefficients and the following zeros 2 (multiplicity 2) , i? Thank you.

Click here to see answer by advanced_Learner(501)

Question 1050775: What is the polynomial fx of degree 4 with real coefficients and the following zeros 2 (multiplicity 2) , i? Thank you.

Click here to see answer by ikleyn(52778)

Question 1050824: If p and q are roots of polynomial equation x^2+x+q=0,then A) p=-1 and q=0 B) p=1 and q=-2
Which condition is true A or B
Click here to see answer by josgarithmetic(39617)

Question 1050814: find a polynomial function with the zeros -2 (multiplicity 2) and 2 (multiplicity 2), whose graph passes through the point (-3,125?
Click here to see answer by ewatrrr(24785)

Question 1050811: Find a polynomial function with the zeros -6,0,3,2 whose graph passes through the point (1/2, 585)
Click here to see answer by Zucchini(70)

Question 1050873: If 3x = square root of 2, what is the value of 12x^6 - 9x^4 + 6x^2?
Click here to see answer by rothauserc(4718)

Question 1050877: Express f(x)as a product of linear factors.
f(x)= x^3+3x^2-2x-4, -1 is a zero.

Click here to see answer by ewatrrr(24785)

Question 1050894:
Wondering if I'm right...
Find three consecutive odd integers such that the square of the third integer plus the product of the other two integers is 268.
(x+4)^2+x(x+2)=268
x^2+8x+16+x^2+2x=268
2x^2+10x+16=268
x^2+5x+8=134
x^2+5x-126=0
(x+9)(x+14)=0
x=9,x=-14
ingegers=9,11,13
Thank you
Click here to see answer by ewatrrr(24785)

Question 1051064: PLEASE HELP!!
use the Intermediate Value Theorem
to verify that P has a zero between a and b.
P(x)=3x^3+7x^2+3x+7; a= -3, b= -2
Click here to see answer by Fombitz(32388)

Question 1051064: PLEASE HELP!!
use the Intermediate Value Theorem
to verify that P has a zero between a and b.
P(x)=3x^3+7x^2+3x+7; a= -3, b= -2
Click here to see answer by ewatrrr(24785)

Question 1051076: PLEASE HELP!!
examine the leading term and determine the far-left and far-right behavior of the graph of
the polynomial function.
P(x)=3x^4-2x^2-7x+1
Click here to see answer by Boreal(15235)

Question 1051087: PLEASE HELP!!!!
use synthetic division and the Factor
Theorem to determine whether the given binomial is a
factor of P(x).
P(x)=x^3+2x^2-5x-6, x-2

Click here to see answer by Boreal(15235)

Question 1051062: Please help me!!
examine the leading term and determine the far-left and far-right behavior of the graph of
the polynomial function.
P(x)=3x^4-2x^2-7x+1
Click here to see answer by stanbon(75887)

Question 1051132: Find the zeros of the polynomial function. State the multiplicity of each zero. (Enter your answers from smallest to largest.)
P(x) = x3 + 3x2 − 13x − 15
Click here to see answer by MathLover1(20849)

Question 1051131: Find the smallest positive integer and the largest
negative integer that, by the Upper- and Lower-Bound
Theorem, are upper and lower bounds for the real zeros
of the polynomial function.
P(x) = 2x^3 + x^2 - 25x + 9
Click here to see answer by Edwin McCravy(20054)

Question 1051168: Write a polynomial that represents the volume of the prism using x
Length: 2x+3
Width: 3x+2
Height: 2x
Click here to see answer by josgarithmetic(39617)

Question 1051162: form the polynomial
degrees: 5
zeros: -8, -i; -6+i
Click here to see answer by Fombitz(32388)

Question 1051281: Prove that the difference of the squares of two consecutive odd numbers is a multiple of 8. Note that an even number can be written as 2n.

Click here to see answer by richard1234(7193)

Question 1051287: Simplify. State any restrictions on the variables.
f) 2ab-6a/9a-3ab
Click here to see answer by MathLover1(20849)

Question 1051300: An isoceles triangle has two side lengths of 9x+3. The perimeter of the triangle is 30x+10.
a) Determine the ratio of the base to the perimeter, in simplified form. State the restriction.
Click here to see answer by stanbon(75887)

Question 1051320: Use the given zero to find the remaining zeros of the polynomial function. (Enter your answers as a comma-separated list.)
P(x) = x^3 + 11x^2 + x + 11; -i
Click here to see answer by stanbon(75887)

Question 1051363: Show that the number is a zero of f(x) of the given multiplicity and express f(x) as a product of linear factors: f(x)=x^4-9x^3+22x^2-32; 4(multi. 2)
Click here to see answer by josgarithmetic(39617)

Question 1051367: Find the oblique asymtote,and sketch the graph of f.
f(x)=2x^2-x-3/
x-2
Click here to see answer by josgarithmetic(39617)

Question 1051365: Find all solutions to the equation.
x^3+x^2-14x-24=0
Click here to see answer by ikleyn(52778)

Question 1051516: Finding a polynomial function for with real coefficients that has 4 degree,zeros of -1, 2, i. Also a solution point f(1)=8. I need to write it in completely factored and polynomial forms.
Thanks,
Msu8690@gmail.com
Click here to see answer by josgarithmetic(39617)

Question 1051529: -2m-2/3 + 2m-3/6=m/8
Click here to see answer by stanbon(75887)

Question 1051559: Solve the following equation
1/3t^(1/3) + 3/2t^(−2/3) = 0
Click here to see answer by advanced_Learner(501)

Question 1051558: Solve the following equation.
1/5 r^(3/2) + 5/2 r^(1/2) =0. Thanks a lot!
Click here to see answer by advanced_Learner(501)

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