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

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

Question 596727: Factor the expression: x^3 + 4x^2 + x + 4

Click here to see answer by rapaljer(4667)

Question 596771: I keep looking at this problem, and I know it's basic, but I cannot remember how to solve it.I have a similar problem on an exam, so I'm hoping to remember the process before attempting the exam. Thanks!
Simplify by removing factors of 1.
X^2-9x+20/X^2+x-20
Click here to see answer by rapaljer(4667)

Question 596788: Find all the numbers for which the rational expression is undefined.
4/6w+5
Click here to see answer by solver91311(16885)

Question 596816: (5y-2)^2
Click here to see answer by jim_thompson5910(28595)

Question 596836: 54x^0 over 52y^1 simplify
Click here to see answer by jim_thompson5910(28595)

Question 596913: (4n+1)(2n+6)
I know the answer is 6 but I'm not sure how they came up with the answer.
Click here to see answer by jim_thompson5910(28595)

Question 597016: if x=square root 7 is aroot of x^3-3x^2-7x+21=0, use synthetic division to factor the polynomial completely and list all real solutions of the equation.

Click here to see answer by lwsshak3(6498)

Question 597146: Referring to the figure, simplify the expression shown.
3 sqrt 5 + 4 sqrt 5
Click here to see answer by solver91311(16885)

Question 597138: Solve the equation by a method of your choice:
x^2 + 12x + 36 = 0
If there are two solutions, separate the solutions by a comma.

Click here to see answer by richwmiller(9135)

Question 597131: Solve the equation by a method of your choice:
6x2 + 5x + 1 = 0
If there are two solutions, separate the solutions by a comma.

Click here to see answer by scott8148(6628)

Question 597132: Solve the equation by a method of your choice:
4x2 + 15x + 9 = 0
If there are two solutions, separate the solutions by a comma.

Click here to see answer by scott8148(6628)

Question 597135: Solve the equation by a method of your choice:
x^2 - 36 = 0
If there are two solutions, separate the solutions by a comma.

Click here to see answer by scott8148(6628)

Question 597187: I need help with this PLEASE!!!
Factor. Check by multiplying.
9x⁷y⁵ + 54x⁵y⁴ + 36xy
Click here to see answer by AnlytcPhil(1276)

Question 597199: for what value of x is the rational expression below equal to zero? x minus 9 over (x - 4)(x + 4)
Click here to see answer by stanbon(57342)

Question 597257: shows the expression below, factored completely?
18x2y2 + 36x3y3 – 27x3y

Click here to see answer by ankor@dixie-net.com(15650)

Question 597333: 9p minus 17p minus 2
Click here to see answer by unlockmath(1599)

Question 597362: Having problems simplifing this equation
x-y/xy - a-y/ay
Click here to see answer by solver91311(16885)

Question 597417: Is p(x) = -.1x^2 + 50x - 300, a polynomial?
Click here to see answer by Alan3354(30993)

Question 597396: Write this polynomial in standard form. What is the leading coefficient? (t-3)(4t-1)(3t-7) I need to know how to do it step by step so please show all work.
Click here to see answer by math-vortex(472)

Question 597503: the length of a rectangle is 2 cm greater than twice its width. The area of the rectangle is 40 cm^2. find the dimensions of the rectangle.
Click here to see answer by ExplanationCentral(10)

Question 597684: Please help me understand the following:
Is the following true or false? Explain.
3x + 2y / 27x^3 + 8y^3 is equal to 1 / 9x^2 - 6xy + 4y^2
Thank you.
Click here to see answer by stanbon(57342)

Question 597714: 2x(3x-5y-2z)
Click here to see answer by jim_thompson5910(28595)

Question 597699: 7-6y>5 is this a true equation?
Click here to see answer by jim_thompson5910(28595)

Question 597736: 10x^3+15x^2+12x+18=0 i am having trouble working it cant seem to solve

Click here to see answer by scott8148(6628)

Question 597744: 5+i over -4-6i not sure how to work with the imaginary numbers stuck thanks so much
Click here to see answer by scott8148(6628)

Question 597767: What expression represents the quotient (8x^6z^4+4x^4z)/(4x^2z)
Click here to see answer by jim_thompson5910(28595)

Question 597804: Completely factor the following expression: y^2-121z^2.
Click here to see answer by Alan3354(30993)

Question 597823: Completely factor the following expression:y^2-121z^2
show all work please

Click here to see answer by jim_thompson5910(28595)

Question 597850: Completely factor the expression 20x^2-45y^2
show all work please.

Click here to see answer by Alan3354(30993)

Question 597877: I am trying to finish a problem where I am multiplying rational expressions. This is what I have simplified it down to: (c-1)*(2c+1)/(c^(2)-1). I know I must factor out (c-1) and (c^(2)-1) and the greatest common factor is (c-1). I have used algebra.com's solver and I know the answer is (2c+1)/(c+1). But how do I get (c+1) from factoring (c^(2)-1) by (c-1)? Thank you!
Click here to see answer by jim_thompson5910(28595)

Question 597890: Please help me solve this equation:
Click here to see answer by solver91311(16885)

Question 597865: If someone could possibly help me with this I would be very grateful.
Find the variation constant and an equation of variation where the y varies inveresly as x&y=5 when x=14
Click here to see answer by Edwin McCravy(8909)

Question 597853: Completely factor the expression 72x^2y+48xy^2+8y^3
show all work please.

Click here to see answer by KMST(1868)

Question 597921: factor the area to determine the length and width of this rectangle A=8x squared+14x-15
Click here to see answer by stanbon(57342)

Question 597723: In this discussion, you are assigned two rational expressions with which you will then do a variety of math work. Remember that each polynomial must be fully factored and that you can only cancel factors; you cannot cancel terms. Read the following instructions in order and view the example to complete this discussion:
Find your two rational expressions in the list below based on your first initial.
k^2+k-42/1-k and k^2-k-30/k-1
Find the domain of each of the rational expressions. (Identify which values of x will make the denominator zero and thus are not allowed in the domain.)
Divide your first rational expression by the second one. Write the answer in lowest terms.
Find and state the common denominator between the two expressions. Build up each expression so that it has the common denominator. (Remember not to do any canceling at this point since you need those extra factors for the common denominator.)
Add the two rational expressions together. Factor again if possible, and present the answer in lowest terms.
Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.):
Domain
Lowest terms
Opposites
LCD
Build up
Click here to see answer by KMST(1868)

Question 598050: factor using the means and extremes. please.
Click here to see answer by Alan3354(30993)

Question 598111: How do I solve the equation b/b-1 + 2/b-4 ? can I just use the quadratic equation? when I use the quadratic equation it comes out is that the correct answer?
Click here to see answer by stanbon(57342)

Question 598118: write (-10) to the fifth power in standard notation?
Click here to see answer by stanbon(57342)

Question 598177: Find the product: (x + 3)(x + 2)
and
Find the product: (2x + 1)(x + 3)

Click here to see answer by Alan3354(30993)

Question 598178: Find the product: (x + 1)(x2 + x + 1)

Click here to see answer by Alan3354(30993)

Question 598173: Find the product: 2x(3x - 5)

Click here to see answer by Alan3354(30993)

Question 598245: Could someone please check my work.
Evaluate each polynomial for x = 5 and y = −2.
10. x^2 + 5y^2 − 4xy
5^2 + 5(-2^2) – 4(5)(-2)
= 5^2 + 5(-4) – 4(5)(-2)
= 25 – 20 + 40
= 45
Thank you

Click here to see answer by nerdybill(6958)

Question 598249: Help please, I am a bit lost here;
Divide and check:
(x^2 + 2x − 15) / (x + 5)

Click here to see answer by solver91311(16885)

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