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

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

Question 489237: subtract the polynomials.
(-4c^2+3c+4)-(7c^2+4)
Thanks!
Click here to see answer by stanbon(75887)

Question 489350: Can someone please help me
Find the product:
-9y^2(y^4+8y^3-3y^2+8y+7)
Click here to see answer by rfer(16322)

Question 489388: Can someone help me find the quotient please?
6x^3-5x^2+x+6
_____________
2x+3

Click here to see answer by xxkiana2340xx(3)

Question 489484: Factor. 12-8t+t^2
I was trying to figure this one out and am confused I had changed it to
t^2-8+12 and it does not make sense to me. Is this not factorable? Thanks in advance - I just want to double check this.
Click here to see answer by chessace(471)

Question 489490: Solve. (x+9)(x-16)(x+4) greater than 0. The solution set is________ (use at least one inequality or compound inequality to express your answer. For answers with more than one inequality, separate them by commas. or B. The solution is all real numbers. Or C. there is no solution.
Click here to see answer by chessace(471)

Question 489761: we were asked to find the percent increase on sales from 2002 to 2006. the sales in 2002 are 58,200,000,000 and in 2006 are 90,800,000,000
Click here to see answer by josmiceli(19441)

Question 489854: How do I factor this:
y^9-y^5
Click here to see answer by stanbon(75887)

Question 489944: Solve the equation 6x^4-7x^2+2=0
Click here to see answer by stanbon(75887)

Question 489990: How do you factor the polynomial x^2-3x-28
Click here to see answer by MathLover1(20849)

Question 490164: 2(a+b)^2+3(a+b)-2 factor completely
Click here to see answer by mananth(16946)

Question 490153: how do you factor a problem like v to the 4th power minus 1296
Click here to see answer by Earlsdon(6294)

Question 490174: " what are the dimensions and centimeters?"
The length of a rectangle is 2 centimeters less than its width.What are the dimensions of the rectangle if its area is 168 square centimeters?
The length of the rectangle is____ centimeters
The width of the rectangle is ____ centimeters
Click here to see answer by Jresend18(1)

Question 490374: Choose the last step in the given solution to the inequality 5x − 14 greater than or equal to 7x + 10.

Click here to see answer by stanbon(75887)

Question 490374: Choose the last step in the given solution to the inequality 5x − 14 greater than or equal to 7x + 10.

Click here to see answer by rfer(16322)

Question 490374: Choose the last step in the given solution to the inequality 5x − 14 greater than or equal to 7x + 10.

Click here to see answer by richard1234(7193)

Question 490377: Which of the following expressions is the square of a sum
Click here to see answer by richard1234(7193)

Question 490548: help solve the following:
factor completely
-6x^6-30x^5+84x^4
Click here to see answer by Earlsdon(6294)

Question 490677: The horizontal sides of a rectangle are one half the length of the side of a particular square. The vertical sides of the rectangle are 4 centimeters more than three times the side of the square. If the perimeter of the rectangle is twice the perimeter of the square, what are the dimensions of the rectangle?
Click here to see answer by John10(297)

Question 490706: Hey,
If you could help me remember how to do this type of problem it would be AWESOME!
Form a polynomial degree with real coefficients so that 2+i and -1 are zeros.
Thanks!
(Answer is x^3-3x^2+x+5; just need to know how to figure this out - thanks!
Click here to see answer by John10(297)

Question 490727: What is the answer to 18(x-9)+81= 18x-9(18-x)?
Click here to see answer by jim_thompson5910(35256)

Question 490769: Factor 3y^2 + 7y + 4.
Click here to see answer by stanbon(75887)

Question 490772: Factor 4x^2 � 14x � 8
There are no numbers whose sum is -14 and can multiple to make 4... I feel like I'm missing something?

Click here to see answer by John10(297)

Question 490772: Factor 4x^2 � 14x � 8
There are no numbers whose sum is -14 and can multiple to make 4... I feel like I'm missing something?

Click here to see answer by MathTherapy(10549)

Question 490776: Factor 4x^2 � 14x � 8
There are no numbers whose sum is -14 and can multiple to make 4... I feel like I'm missing something?
How would I factor it out? The answer is supposed to be 2(2x + 1)(x � 4)
Click here to see answer by jim_thompson5910(35256)

Question 490779: AGAIN, I'm getting stuck here! Right when I thought I knew it...
Solve 6x^2 + 3x � 12 = 2 � 2x
Okay, so I subtracted 2-2x from both sides and end up with 6x^2+5x-14
Now, do I divide by 6? I don't understand how that would work, and there are no factors of 14. I'm looking at my teacher's notes from last year and they aren't helping.
Click here to see answer by jim_thompson5910(35256)

Question 490700: I started factoring x^4-3x^3-21x^2+43x+60, but I got stuck after I synthetically divided by -1 first, now I am x^3-4x^2-17x+60. I divided by 1 and -1 and it's not working. Help! Thank you!
Click here to see answer by Edwin McCravy(20054)

Question 490946: Form a polynomial whose zeros and degree are given
Zeros: -3, -2, -1, 1 degree 4
choices:
a) x4th + 5x cubed + 5x squared -6x -6
b) x4th + 5x squared -6
c) x4th - 5xcubed + 5x squared + 5x -6
d) x4th + 5x cubed + 5x squared -5x -6
Click here to see answer by Alan3354(69443)

Question 490956: How to solve the equation for y.
3xy+y=15
Click here to see answer by MathLover1(20849)

Question 490984: 4xy+3=5z; y
Its a literal equation
solve for y
Click here to see answer by ccs2011(207)

Question 490985: Simplify and express your answer with positive exponents. Evaluate or simplify the numerical expressions.
11^1/2-11^3
Combine
sqrt(90)-sqrt(10)
Divide and simplify. Assume that all variables represent positive numbers
sqrt(16/36)
Simplify by rationalizing the denominator
y/sqrt(7)+sqrt(3)

Click here to see answer by ccs2011(207)

Question 491042:
I used the solver to simplify this equation but I don't understand the first step. It says turns into , but I don't understand how. Please explain this to me.
Click here to see answer by stanbon(75887)

Question 490975: i need to solve this equation for d.
4(d-3)=2d
Click here to see answer by ankor@dixie-net.com(22740)

Question 490978: Solve the equation. Check your answer.
3(x+1)=2(x+11)
Please give easiest steps.
Click here to see answer by ankor@dixie-net.com(22740)

Question 491198: HOW WOULD I SOLVE -2xy+x^2-48-y^2
Click here to see answer by Alan3354(69443)

Question 491329: write an equation to solve the problem.
The angles of a triangle are in the ratio 2:12:16. The sum of all the angles in a triangle must equal 180 degrees. What is the degree measure of each angle of the triangle? Let x=the common factor.
Click here to see answer by mananth(16946)

Question 491364: Subtract.
(3x^2-2x+5)-(2x^2-5x+1)

Click here to see answer by deborabr(181)

Question 491202: Factor: x^3 - 3x^2 + 2x - 6
Click here to see answer by ptth176(50)

Question 491437: 256x^5-81x^3 how do i factor this?

Click here to see answer by MathLover1(20849)

Question 491839: i need to factor this polynomial completely 4z^3-12z^2-16z+48
Click here to see answer by stanbon(75887)

Question 491895: evaluate square root of 81 over square root of 121
Click here to see answer by rfer(16322)

Question 491888: f(x)=25xsquare2+20x+4 find the y intercepts and x intercepts
Click here to see answer by ccs2011(207)

Question 492004: Is this equation correct: (x y)^3 = x y^3 ? Explain why. If it is correct, how can you prove this? If it is incorrect, what should be done to make it right?
Click here to see answer by ptth176(50)

Question 492030: I need help with this problem

7^2
___
8^8
I come up with
1
_____
117649
and my friend comes up with
1
___
7^6
could you please help me solve this problem?
Click here to see answer by Theo(13342)

Question 492056: How do I completely factor the following expression 81y^2 - 4z^2
Click here to see answer by nerdybill(7384)

Question 492066: completely factor the expression 128x^2 + 192xy + 72y^2
Click here to see answer by stanbon(75887)

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, 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