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

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

Question 280552: 5c^5 d^4/12b^3
Click here to see answer by richwmiller(9144)

Question 280570: The base of a triangle is 6cm greater than the height. The areas is 20cm^2
Find the height and length of the base
height of triangle is ____ cm.
base of triangle is ____ cm.
Click here to see answer by richwmiller(9144)

Question 280572: Can you please find two examples of prime polynomials?
Given a polynomial such as x^2 + 4x + 8 how would I decide if this is factorable or not? What logic would you use to come up with your answer? What about a more complicated polynomial such as 3x^2 + 12x + 4? How would you decide if this is prime or not?
Click here to see answer by richwmiller(9144)

Question 280579: 28x^3-23x^2-57x-18/7x+3

Click here to see answer by richwmiller(9144)

Question 280442: list the potential rational zeros of the polynomial function, do not find the zeros.
f(x)=x^5-5x^2+4x+3
Click here to see answer by jsmallt9(3296)

Question 280343: 25y^4-20t^6y^4/5x^4y^2
Click here to see answer by jsmallt9(3296)

Question 280569: Divide
28x^3-23x^2-47x-18/7x+3
Simplify answer
Click here to see answer by jsmallt9(3296)

Question 280456: form a polynomial f(x) with real coefficients having the given degree and zeros.
degree: 4; zeros: -1, 2, and 1-2i.
Click here to see answer by jsmallt9(3296)

Question 280450: form a polynomial f(x) with real coefficients having the given degree and zeros.
degree: 4; zeros: -1, 2, and 1-2i.
Click here to see answer by jsmallt9(3296)

Question 280448: 16x^2y^7
-------
40x^4y^10
Click here to see answer by jsmallt9(3296)

Question 280347: u+5/u-7 + 1= u-1/u-5
Click here to see answer by jsmallt9(3296)

Question 280689: -9x x (10x - 8)
Multiply this
Click here to see answer by rfer(12730)

Question 280820: how do I factor and then solve using the principal of zero?
2x^2 +20 = x^2 + 9x
do I
add -2x^2 to both sides
20 = -x^2 + 9x
add -20 both sides
0 = - x^2 + 9x -20
is this right?
then what?

Click here to see answer by Alan3354(31534)

Question 280966: Find the LCD for the given rational expressions and convert the rational expressions into equivalent rational expressions with the LCD as the denominator
4/a-3, 5x/3-a
Click here to see answer by stanbon(57979)

Question 281038: I need help with rational expressions and equations. [[[12/x = 3]]]
Click here to see answer by brucewill(101)

Question 281098: how do I evaluate polynomials
2x^2y-xz^3 for x = -3 y=1 and z= 3
Please explain
Thanks
Click here to see answer by richwmiller(9144)

Question 281131: (3/2)^-3
Click here to see answer by checkley77(12569)

Question 281185: What is the simplified form of: f(x)= 2x^4 + 10x^3 - 2x^2 - 10x / x^4 - x^3 - 2x?
So far I have: (2x^2-2)(x+5)/x(x^3-x^2-2) but i don't know if that is right.
Click here to see answer by vleith(2825)

Question 281195: 6v^2-24/9v^2-36
answer is a fraction:

Click here to see answer by stanbon(57979)

Question 281247: 5a^8/8t^3 * 64t^6/25a
The simplified product is:
Click here to see answer by vleith(2825)

Question 281272: Area of a painting. A rectangular painting with a width of
x centimeters has an area of x^2 + 50x square centimeters.
Find a binomial that represents the length.
Click here to see answer by vleith(2825)

Question 281305: 2x-72=0
the book says the answer is -6,6 but i dont know how
Click here to see answer by richwmiller(9144)

Question 281277: Amount of an investment. The amount of an investment
of P dollars for t years at simple interest rate r is given by
A = P + Prt.
a) Rewrite this formula by factoring out the greatest
common factor on the right-hand side.
b) Find A if $8300 is invested for 3 years at a simple
interest rate of 15%.
Click here to see answer by rfer(12730)

Question 281254: w^2-4w-21/w^2-6w+9 * w-3/w-7 =
simplify
Click here to see answer by dabanfield(803)

Question 281409: (a+b+c+d)4th power (I WANT THE FULL WORKING AND NOT JUST THE ANSWER WANT TO SEE HOW YOU DID IT)
Click here to see answer by Mathematicians(84)

Question 281436: given the equation x^3-2x^2+x-3=0 what are the possible rational roots.please help me if possible
Click here to see answer by jsmallt9(3296)

Question 281507: Simplify by removing factors of 1 2z-8/4-2?
Click here to see answer by stanbon(57979)

Question 281508: I have this equation and i have tried many
a times and continue to get it wrong.
It is multiplying polynomials.
This is the original equation
(2x^2-5x-1)(x^2+x-3)
and this is what ive tried.
2x^2(x^2)3x^4
2x^2(x)3x^3
2x^2(-3)-6x^2
-5x(x^2)-5x^3
-5x(x)-5x^2
-5x(-3)15x
-1(x^2)-1x^2
-1(x)-1x
-1(-3)3

And this is my answer.
3x^4+3x^3-12x^2+14x-5x^3+3
Click here to see answer by Mathematicians(84)

Question 281418: Find all numbers (rational expressions) where the solution is undefined:
w-1
----- =
9
Click here to see answer by richwmiller(9144)

Question 281418: Find all numbers (rational expressions) where the solution is undefined:
w-1
----- =
9
Click here to see answer by Mathematicians(84)

Question 281563: 5.487*10^-8
Click here to see answer by Mathematicians(84)

Question 281596: Factor as completely as possible.
a)
b)
c)
Hello! You dont have to do all three of these (unless you want too; go ahead and knock yourself out ;) ) What I wanted to know was if someone could please explain to me how I would factor these as completely as possible?
Thank you
Click here to see answer by Mathematicians(84)

Question 281601: d/g^2 / d^2/g^3
Click here to see answer by jim_thompson5910(28717)

Question 281658: y^2+6y/y^2+5y-6 / y/y+1=
Click here to see answer by user_dude2008(1861)

Question 281675: Find the LCM of and
Click here to see answer by Edwin McCravy(8999)

Question 281776: Determine the leading term, leading coefficient, and the degree of the polynomial. - x - 4x^2 - 4x^3 - 3x^5 + 4
Click here to see answer by stanbon(57979)

Question 281778: multiplying polynomials.
(6m^4)(8m^2)
Click here to see answer by stanbon(57979)

Question 281926: x^3-3x^2-10x+24
ok i know you use synthetic division
and you get1,-1,and -12
i know the final answer but i don't know how you got it
the final answer is (x-2)(x+3)(x-4)
can you please show me how you do it
Click here to see answer by richwmiller(9144)

Question 281997: Please help me solve this equation: 2ab + a2
Click here to see answer by solver91311(17077)

Question 282064: A square painting measures x inches on each side. The painting is uniformly surrounded by a frame that measures 5 inches on each side. Write a polynomial in descending powers of x which expresses the area of the square that includes the painting and the frame. Then write an expression for the area of the frame.
Click here to see answer by solver91311(17077)

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, 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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, 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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