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

Tutors Answer Your Questions about Polynomials-and-rational-expressions (FREE)

Question 362980: (7x^2-12)^(1/4)=x
Can you show the steps to solving this question?
Click here to see answer by mananth(12270)

Question 362899: the length of a rectangle is three feet more than twice the width . the area of the rectangle is 9 square feet. find the length and the width.
Click here to see answer by mananth(12270)

Question 362969: Could you solve the following equations involving radical expressions. Thank you.
1) a^3 - 54=0
2) 2*3rd(x+4) = 10
Click here to see answer by Fombitz(13828)

Question 362884: Please solve the following equations involving radical expressions.
1.a^3 - 54=0
2.2*3rd(x+4) = 10

Click here to see answer by Fombitz(13828)

Question 363079: a^2 – a – 20
factor completly
Click here to see answer by ewatrrr(10682)

Question 363081: a^2 – 5a – 20
factor completly
Click here to see answer by ewatrrr(10682)

Question 363083: a^2 + 12ab + 27b^2
factor completly
Click here to see answer by ewatrrr(10682)

Question 363092: 2a^2 + 30a + 100
factor completly
Click here to see answer by ewatrrr(10682)

Question 363076: x^2 – 8x + 15
factor completely idk how to do it
any help????????
Click here to see answer by Fombitz(13828)

Question 363076: x^2 – 8x + 15
factor completely idk how to do it
any help????????
Click here to see answer by ewatrrr(10682)

Question 363135: I am doing a few practice test to brush up before taking a college placement test. One of the questions is:
For all r does not equal +-2, r^2-5r+6 / r^2-4
The answer is r-3/r+2
Can you walk me through step by step how to arrive at this answer?
Click here to see answer by ewatrrr(10682)

Question 363154: Hello,
need help in finding the zeros of this function.
f(X)= x^4-7x^2+10
Click here to see answer by Fombitz(13828)

Question 363152: Solving the following polynomial equation?
f(X)=x^3+3x^2+25x+75
Click here to see answer by Fombitz(13828)

Question 363151: I would just like to check an answer.
Solve the polynomail equation?
3x^4-15x^3+30x^2-60x+72=0
I got answers 2, 3, 2i, -2i
Does that look right?
Click here to see answer by Fombitz(13828)

Question 363157: Please help me factor this polynomial: . I am trying to figure out how to solve it using the factor theorem. My answer key uses 2 as the factor of the constant term. And then the synthetic division looks like this: 1-6 12-8
2- 8 8
________
1-4 4 R.0
I do not understand how you can use 2 as the factor of the constant term. Thank you for your assistance.
Click here to see answer by ewatrrr(10682)

Question 363141: Hello!
I am suppose to write a polynomial function with the following.
Degree 4, Leading Coefficient of 4, zeros at -6, -7, -5i, and 5i
Click here to see answer by Fombitz(13828)

Question 363096: (-4c^2 + 3c+2)-(9c^2 +2)
Click here to see answer by Fombitz(13828)

Question 363237: describe the end behavior of the polynomial function lim f(x) and lim f (x)
X-> ∞ X-> - ∞
f(x)= -4x^2 + 7x^2 - 3
Click here to see answer by Fombitz(13828)

Question 363343: can you please explain the steps
identify the ploynomial as a monomial, binomial,or none of these
give its degree and leading coefficient
-5x+8
thank you
Click here to see answer by robertb(4012)

Question 363341: can you please explain the steps
identify the polynomial as a monomial, trinomial, or none of these
give its degree and leading coefficient
-35w^9+12w^4-2w^2+9
the ^ symbol means to the power of
thank you
Click here to see answer by robertb(4012)

Question 363387: Write the equation for a polynomial function whose only real zero is x = 0 and which only touches the axis at x = 0.
Click here to see answer by user_dude2008(1861)

Question 363404: (4F-3)+(2F-7)-(5F-16)=
Click here to see answer by edjones(7569)

Question 363437: Area of a sail
The area in square meters is trianglar sail is given by A(x) x^2 + 5x + 6.
Find A(5)
If the height of the sail is x+3 meters, then what is the length of the base of the sail?
Click here to see answer by mananth(12270)

Question 363275: I am suppose to complete a tablee if the function f is odd
the x's are -8 -4 4 8
the f(X) are -6, ? -2 ?
The question marks are the blanks in the table.
Are the answers -4 and 0 correct??
Click here to see answer by Fombitz(13828)

Question 363434: Area of Painting
A rectangular painting with a width of x centimeters has an area of x^2+50x centimeters. Find a binomial that represents the length.
Click here to see answer by mananth(12270)

Question 363394: Solve the rational equation:

Click here to see answer by edjones(7569)

Question 363436: Amount of Investment
The amount of investment of P dollars for t years at simple interest rate r is given by
A=P + PRT
Rewrite the formula by factoring out the greatest common factor on the right-hand side.
Find A if $8300 is invested for 3 years at a simple interest rate of 15%.
Click here to see answer by edjones(7569)

Question 363457: I am having problems understanding how to do this problem. Please help me -x+6/-12x+-x-6/-12x
Click here to see answer by mananth(12270)

Question 363458: I am having a problem simplifying this problem
2x+3/x-4-x-5/x+2 please help me.
Click here to see answer by mananth(12270)

Question 363467: Can someone please help me solve this problem?
(y+1)/(y+3) - (y-2)/(y-3) = (2)/(y+3)
Any help would be so appreciated!!!
Click here to see answer by mananth(12270)

Question 363450: Find f below and find any vertical asymptotes of f(x)= x^2-9/x-3
Click here to see answer by edjones(7569)

Question 363448: Write the polynomial in completely factored form if one factor is (x^2+4).
x^4-6x^3+14x^2-24x+40 Thanks
Click here to see answer by edjones(7569)

Question 363504: What is the correct expression for this word problem? I think it should be the product of two binomials but I am not sure how to set it up. I believe the first binomial should be (x+6)( ? ) not sure about the second.
The length of a rectangle is 6 meters more than its width. If the area is 40 square meters, what are the length and width? Thanks!! This site has helped me tremendously. I am awful with word problems
Click here to see answer by ewatrrr(10682)

Question 363506: I am lost on this word problem. Would it be a polynomial to be factored or the product of two binomials? Thank you!
A 150-ft diagonal brace on a bridge connects a support of the center of the bridge to a side support on the bridge. The horizontal distance that it spans is 30 ft longer that the height that it reaches on the side of the bridge. Find the horizontal and vertical distances spanned by this brace.
Click here to see answer by mananth(12270)

Question 363521: I WANTED TO SEE IF I GOT THESE RIGHT
WRITE THE NUMBER IN SCIENTIFIC NOTATION
0.0000000000453
AND
453000000
THANK YOU FOR YOU HELP
Click here to see answer by nerdybill(6962)

Question 363521: I WANTED TO SEE IF I GOT THESE RIGHT
WRITE THE NUMBER IN SCIENTIFIC NOTATION
0.0000000000453
AND
453000000
THANK YOU FOR YOU HELP
Click here to see answer by Theo(3464)

Question 363571: I am lost on how to solve this polynomial?
Do I factor out x?
P(x)=X^5+X^4+X^2+X+7
Click here to see answer by stanbon(57377)

Question 363585: can you please explain the steps
factorize

x^2-9x-36
thank you
Click here to see answer by ewatrrr(10682)

Question 363587: I am suppose to find the number of real zeros and the number of imaginary zeros for the polynomial.
x^4+4x^3+5x^2+4x+4=f(X)
The answers I got were 1 real zero and 3 imaginary zeros?
Click here to see answer by vasumathi(46)

Question 363568: I am wanting to check an answer.
I am suppose to use the rational zero test to find all the rational zeros of f(x).
f(X)=2x^3+3x^2-11x-6
I got -2, -4, -3 is this correct?
Click here to see answer by vasumathi(46)

Question 363588: Assume the expressions are denominators of fractions. Find the Least Common Denominator for each group
24a^3b^4, 18a^5b^2
Click here to see answer by ewatrrr(10682)

Question 363575: I would love help solving this polynomial question.
The polynomial function I (t) = -0.1T^2+2T represent the yearly income or loss from a real estate investment, where t is time in years. After how many years does income begin to decline? Round to the nearest tenth of a year if neccessary.

Click here to see answer by ewatrrr(10682)

Question 363567: I am not sure how to divide this polynomial.
x^5+2x^4-12x-39/ x-2
I tried synthetic division , but got lost?
Click here to see answer by CharlesG2(828)

Question 363605: simplify write rational expression in lowest terms
11/18-(3/4)+2
Click here to see answer by edjones(7569)

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