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

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

Question 366111: find the greatest common factor
10x^8-15x^4+20x^12
i got 5x^4 but i'm not sure
thank you
Click here to see answer by solver91311(24713)

Question 366117: identify the polynomial as a monomial,binomial,trinomial, or none of these
give its degree and leading coefficient
-35w^9+12w^4-2w^2+9
thanks
Click here to see answer by fractalier(6550)

Question 366118: what is the answer for q+7/9=-8?
Click here to see answer by rfer(16322)

Question 366121: factorize
16y^4-9
thank you
Click here to see answer by Alan3354(69443)

Question 366112: find the greatest common factor
40n^27+24n^9+8n^3
thank you
Click here to see answer by nerdybill(7384)

Question 366125: factorize
x^2+81y^2
thank you
Click here to see answer by Alan3354(69443)

Question 366124: In your own words, what are rational expressions? Why must we always be mindful of the final value of the denominator in a rational expression? For example, consider the rational expression 3x/(x2 � 16). What values in the denominator must we be mindful of? Explain why.

Click here to see answer by Fombitz(32388)

Question 366045: Divide and Simplify. -20+5z/3 / 121z-484/9. Can you please disregard the similar problem,this is the actual problem. Thanks
Click here to see answer by ankor@dixie-net.com(22740)

Question 366066: Add. Simplify, if possible.
7/y-7 +13/(y-7)^2
Click here to see answer by Fombitz(32388)

Question 366191: what is the answer to s/6- 2/9=0
Click here to see answer by Fombitz(32388)

Question 366191: what is the answer to s/6- 2/9=0
Click here to see answer by Alan3354(69443)

Question 366126: Is the following equation valid?
3x3 - 6x2 + 2x + 1 - (x3 - 5x2 + 2) = 3x3 - 6x2 + 2x + 1 - x3 - 5x2 + 2

Click here to see answer by rfer(16322)

Question 366180: Solve. x2 + 8x + 15 = 0

Click here to see answer by jim_thompson5910(35256)

Question 366237: The problem that i am needing help with is; s(p)=3p^2-5p-8 and the choices to pick from are; A) [3/8, 0],(0,0) B) [3/8, 0],(1,0) C) [8/3, 0],(-1,0) D) [3/8,0),(-1,0) I DON'T UNDERSTAND. Please help.
Click here to see answer by stanbon(75887)

Question 366313: Please help me solve this eguation
Click here to see answer by stanbon(75887)

Question 366323: 1. (y-3)^3 - (y-3)^2 = 0
2. 2t^4 - 5t^2 + 3
Click here to see answer by robertb(5830)

Question 366278: How does the knowledge of how to simplify a rational expression help you to solve an equation most efficiently? Why should this matter?
Click here to see answer by robertb(5830)

Question 366289: How do you subtract polynomials?
Click here to see answer by tutorcecilia(2152)

Question 366177: Solve. 6z3 � 27z2 + 12z = 0

Click here to see answer by Fombitz(32388)

Question 366433: (10x^-8)(2x^5)
Click here to see answer by mananth(16946)

Question 366437: Could someone help me with this word problem.I do not have a clue on how to do this. 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(16946)

Question 366509: factor completely
c^5-4c^3-c^2+4
Click here to see answer by ewatrrr(24785)

Question 366530: y varies inversely as the square of x, and y=7 when x=3
Find the equation of variation for the given situation.
Click here to see answer by ewatrrr(24785)

Question 366568: 3x^2 + 5x + 1 factoring??????
Click here to see answer by Alan3354(69443)

Question 366606: I just solved a problem on my algebra test, and I am not sure how I did it... In regards to a rectangle with sides X and 2x+5, and area being 168
X(2x+5)=168
Solve for X
While trying to work on it, I was factoring 168, and realized the factors 8,21 fit for X and 2x+5... it was an intuitive leap. I would like to know how to actually solve this properly
Click here to see answer by Fombitz(32388)

Question 366571: Choose two trinomials from the list below to factor. Using complete sentences, explain how to factor each one. Be sure that the final factorization (or "answer") is a part of your explanation.
2x2 + 13x + 15
2x2 + 27x + 13
5x2 − 2x − 7
10x2 − 7x − 3
8x2 − 11x + 3

HELP PLEASE??
Click here to see answer by josmiceli(19441)

Question 366570: 10x^2 + 2x − 8 factoring???
Click here to see answer by ewatrrr(24785)

Question 366639: I'm having some trouble with factoring Polynomials with a coefficient in front of the squared variable. 10r2-25r-6. I've tried (2r+2)(5r-3).
Click here to see answer by jim_thompson5910(35256)

Question 366678: find the intercepts for the graph of the equation -4x -4y = 4
Click here to see answer by rfer(16322)

Question 366683: I've been stuck on this problem for about an hour now and can't seem to figure out the right answer. I appreciate any help I can get. Here is the problem: Joe has a collection of nickels and dimes that is worth $6.20. If the number of dimes was doubled and nickels were decreased by 37, the value of the coins would be worth $4.20. How many nickels and dimes does Joe have?
Thank you for your time.
Click here to see answer by Alan3354(69443)

Question 366566: 2x2 + 9x + 4 factoring???????/
Click here to see answer by robertb(5830)

Question 366567: 3x^2 − x − 4 factoring???
Click here to see answer by robertb(5830)

Question 366697: 1. The area of a rectangular card is 128cm^2. The length of the card is twice its width. What are the dimensions of the card?

Click here to see answer by mananth(16946)

Question 366735: x^2-64y^2
Click here to see answer by Fombitz(32388)

Question 366523: -2st^3(-4s - 3t - 5)
Click here to see answer by Fombitz(32388)

Question 366715: The lengths of three sides of a right triangle are consecutive even integers. Find the length of each side of the triangle. (Recall the Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the lengths of the two legs and c is the length of the hypotenuse.)
Thank you for the help!
Click here to see answer by edjones(8007)

Question 366774: what is the answer to the problem. Simplify the expression below.
9c + 5 - 3c + 2
Click here to see answer by robertb(5830)

Question 366774: what is the answer to the problem. Simplify the expression below.
9c + 5 - 3c + 2
Click here to see answer by mananth(16946)

Question 366807: I am having trouble with my Appendix D. This is what I hsve so far. Can someone let me know if I am on the right track?
Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting.
1. The cost, in millions of dollars, to remove x % of pollution in a lake modeled by C=5,000/300-3x
a. What is the cost to remove 60% of the pollutant?
C=_5,000
300-3x
C=5,000
300-3(60)
C=5,000
300-180
C=5,000
120
C=$42 million
b. What is the cost to remove 80 % of the pollutant?
C=5,000
300-3x
C=5,000
300-3(80)
C=5,000
300-240
C=5,000
60
C=$83 million
c. What is the cost to remove 95% of the pollutant?
C=5,000
300-3x
C=5,000
300-3(95)
C=5,000
300-285
C=5,000
15
C=$333 million
d. For what value is this equation undefined?
The equation is undefined when x=100, and that�s because the bottom of the fraction =0, at x=100.
300-3x
300-3x-3x-3x
x=100

Click here to see answer by stanbon(75887)

Question 366809: whAT IS THE lcm OF 3X-15,X2-10X+25
Click here to see answer by Alan3354(69443)

Question 366856: I'm having a hard time figuring this out. A 50-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 10 ft longer that the height that it reaches on the side of the bridge. Find the horizontal and vertical distances spanned by this brace.I appreciate all the help I can get.
Click here to see answer by stanbon(75887)

Question 366910: Use rational exponent to write x^1/2*y^1/8*z^1/4
Click here to see answer by Fombitz(32388)

Question 366892: Form a Polynominal F(x) with real coefficients having the given degree and zeros
Degree 4; zeros: 5-5i; 4 multiplicity 2

Click here to see answer by Fombitz(32388)

Question 366944: P(x)=x^3-9x^2+11x-3
Compute P(1) and P(-1)

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, 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, 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