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

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

Question 526622: Use the perfect square trinomial formula to factor the polynomial.
x to the second power-4x+4=

Click here to see answer by Alan3354(31528)

Question 526669: For the following pair, find the LCD. then write each fraction as a pair of fractions with the LCD as their denominator.
x/x+7 and x/x-7
I determined the LCD as (x+7)(x-7)
i then multiplied the 1st fraction by (x-7) and arrived at x(x-7)/(x=7)(x-7)
I multiplied the second fraction by (x+7) and arrived with x(x+7)/(x-7)(x+7)
but the text book states that the answer is :
(x+7)(x-7) ; x^2 - 5x / (x+7)(x-5) , x^2 + 7x / (x+7)(x-5)
I can't figure out where the "5" came from ??
Click here to see answer by oberobic(2304)

Question 526716: I am lost with this question. Factor completely Remember to look first for a common factor. Check by multiplying. If a polynomial is prime, state this.

X^2 − 11 xy + 24y^2
Click here to see answer by jim_thompson5910(28715)

Question 526735: 1/(x-1)^2+3/(x^2-1)=5/(x^2-1)

Click here to see answer by Maths68(1474)

Question 526927: Simplify by removing factors of 1
6y^11/7y^8
Please assist. I have tried to find an example, but I am stuck.
Click here to see answer by jim_thompson5910(28715)

Question 526945: f(x)=3x^3+11x^2+5x-3 find all the zeros in this polynomial function
Click here to see answer by stanbon(57967)

Question 527063: how do you solve this question? 2x^2 + 18x + 28 = 0
Click here to see answer by jim_thompson5910(28715)

Question 527125: factor each completely. 8x^2 - 50
y^2 - 7y - 30
3x^2 +16x +5
Click here to see answer by oberobic(2304)

Question 527309: Factor: 128x^6-54y^3
Click here to see answer by thinkinbig2(5)

Question 527618: 8/(y+4)-6/(y-4)=8/(y^2-16) hey this problem has been giving me trouble if you could please show me the steps to. Solve so I understand better thank you.
Click here to see answer by stanbon(57967)

Question 527621: Find all zeros of the function x^4-2x#+x^2+8x-12
Click here to see answer by stanbon(57967)

Question 527742: What is x^4-3x^2+5x-1 divided by x^2-3?
I only got to x^2-3 and didn't know how to add 5x and 9 and subtract one to get the remainder. Thank you.

Click here to see answer by solver91311(17077)

Question 527847: Factor completely.
2x(2nd power) +5x +3
Click here to see answer by rfer(12730)

Question 527918: Factor completely.
6x(2nd power) +33x +15
Click here to see answer by jim_thompson5910(28715)

Question 527931: Factor 3xy^2 - 6xy - 45x
Click here to see answer by jim_thompson5910(28715)

Question 527942: Factor 25b^2 - 1
Click here to see answer by jim_thompson5910(28715)

Question 527944: Factor 2x^2 - 5xy -18y^2
Click here to see answer by jim_thompson5910(28715)

Question 527946: Find a polynomial giving the volume of a cube of sides 2s.
Click here to see answer by jim_thompson5910(28715)

Question 528175: I need this unfactored
18x^3-60x^2+50x
Click here to see answer by Earlsdon(6294)

Question 528248: Can you help me with this problem?

(2x+1)/(x+3)+(3x)/(x-2)+2x It just says perform the indicated operation. Can you help?
Click here to see answer by Edwin McCravy(8999)

Question 528270: x^3 - 3x^2 - 54x = 0
Click here to see answer by scott8148(6628)

Question 528291: 6x^7 - 18x^5
Click here to see answer by stanbon(57967)

Question 528294: 21y^3 - 9y^2 + 12y
Click here to see answer by stanbon(57967)

Question 528290: 8x - 48
Click here to see answer by Alan3354(31528)

Question 528299: "Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value.
n=3; -3 and 6+2i are zeros; f(2)=100
f(x)= ?
Thank you!
Click here to see answer by scott8148(6628)

Question 528360: How do you solve this problem (10x - 8xy) (10x + 8xy)
Click here to see answer by Alan3354(31528)

Question 528393: I need your help on an algebraic equation
I don't know how to solve this equation
9(c-2)+12=84
Click here to see answer by Alan3354(31528)

Question 528393: I need your help on an algebraic equation
I don't know how to solve this equation
9(c-2)+12=84
Click here to see answer by Earlsdon(6294)

Question 528500: (5x-6)(x+2)
Click here to see answer by jim_thompson5910(28715)

Question 528588: Factor: 8x^3-6x^2+2x
Click here to see answer by scott8148(6628)

Question 528673: Simplify. Please show all of the steps to arrive at your answer 14 + (-16)(-18) + (-11)
Click here to see answer by JenniferTutors(83)

Question 528672: I am supposed to factor this problem, 9k^2-121j^2. I did a problem right before it which was Y^3-216=(Y-6)(y^2+6Y+y^2), So I believe the answer is (9k-121)(9k+9k(121j)+9k), however it did not look right too me so This is why i need help. Thank you for taking the time to read this
Click here to see answer by Maths68(1474)

Question 528696: This question is driving me up the wall. It has to be answered only in fractions and not in decimals.
Two thirds of two is what part of three
or put another way, 2/3 of 2 is x (what) part of 3.
I'm not sure, but the answer is 4/9, but how is the problem solved (step by step) to arrive at the figure of say 4/9 or whatever?.
I'm 80+ and still doing ok, no Alzheimer yet..ha-ha, many thanks for any help.
Click here to see answer by josmiceli(9817)

Question 529066: Please Help lost on this question. Being using other examples.Megan factored the expression 72x^2-43x+6 as (9x-3)(8x-2) . But when Jacob applied the FOIL principle and multiplied out (9x-3)(8x-2), he got 72x^2-42x+6 ; thus, Megan’s solution does not appear to check. Why is that? Please help Megan to understand this better. Explain your reasoning and correctly factor the original expression, if possible. If the expression is prime, so state.

Click here to see answer by ankor@dixie-net.com(15746)

Question 529381: (6x^2-7xy+y^2)+(-9x^2-9xy-y^2)+(x^2+xy-4y^2)
Click here to see answer by Maths68(1474)

Question 529740: Please help me solve this equation
[[[a^+9a+18 over 5a+15]]]
Click here to see answer by solver91311(17077)

Question 529779: (u-4)-(6+3u^2-4u)
Click here to see answer by swincher4391(726)

Question 529809: find any real numbers for which the rational expression is undefined x+9/21x^2+17x+2
Click here to see answer by jim_thompson5910(28715)

Question 529810: how do i write a polynomial equation with rational coefficients in standard form with the given solutions of 2,3,and 5? I am aware that i need to work backwards starting by making each solution equal to zero, i think.
Click here to see answer by jim_thompson5910(28715)

Question 529811: find possible rational zeros of 7x^4-5x^3-4x^2-9x+91
Click here to see answer by jim_thompson5910(28715)

Question 529748: find the degree of the polynomial
8c^3d^6e^3
Click here to see answer by swincher4391(726)

Question 529844: how would i write a polynomial equation with rational coefficients in standard form with the given solutions of so far I've gotten then I'm not sure what to do after that.
Click here to see answer by stanbon(57967)

Question 529840: how would i find the real solution to the equation: i know I'm suppose to put it in my calculator under the "y=" button and hit graph and find a point where the graph is crossed over the x-int, however i could be wrong.
Click here to see answer by ankor@dixie-net.com(15746)

Question 530014: Please help me Simplify m^2-49/m^2+10m+21
Click here to see answer by algebrahouse.com(1079)

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, 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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