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

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

Question 862210: I'm having a problem trying to check my answer to a rational expression
The expression is 3y^2+10y+3 / 3y^2-14y-5
The answer is y+3/y-5 I just can't remember how to check that it's correct.
Please help.
Click here to see answer by ewatrrr(24785)

Question 862295: solve: 8x^3+8x+5/2x-1
Click here to see answer by ewatrrr(24785)

Question 862311: How to you factor completely:
100b squared + 140b + 49
Click here to see answer by josmiceli(19441)

Question 862315: Form a polynomial whose zeros and degrees are given:
Zeros: -9 multiplicity 1; 3 multiplicity 2; degree 3
Click here to see answer by Fombitz(32388)

Question 862336: Find the intervals of increase and decrease. Use the first derivative test to find the local maxima and minima. Sketch a graph.

Click here to see answer by Alan3354(69443)

Question 862385: Find the intervals of increase and decrease. Use the first derivatives test to find the local maxima and minima. Graph.

Derivative is I think
Click here to see answer by solver91311(24713)

Question 862552: Find the constants a and b such that x^2+4*x+a=(x+1)*(x+b)
Click here to see answer by josgarithmetic(39613)

Question 862551: Given x^3+8=(x+a)*(x^2+b*x+c)find the values of a,b and c.
Click here to see answer by josgarithmetic(39613)

Question 862553: Factorize the following quadratic polynomial into linear factors with integer coefficients. 2*x^2-x-6
Click here to see answer by richwmiller(17219)

Question 862550: Factorize the following polynomial completely over the integers. x^4+4*x^2+3
Click here to see answer by lwsshak3(11628)

Question 862549: Factorize the following polynomial as much as possible over the integers. x^3-x^2-12*x
Click here to see answer by lwsshak3(11628)

Question 862244: Give the values of X where each function is undefined
g(x) =x^2-5x+6/x^2+2x-15
Click here to see answer by Fombitz(32388)

Question 862293: For those which are polynomial functions find the degree the leading term and the leading coefficient.
f(x)= 4x^4+7x^2
Click here to see answer by Fombitz(32388)

Question 862976: I have a test tomorrow on multiplying polynomials. I know how to multiply monomials and binomials, but how do i do polynomials? PLEASE HELP!
(x+4)(x^2+3x+5)
(3m+4)(m^2-3m+5)
(2x-5)(4x^2-3x+1)
p.s.- x^2=x squared
Click here to see answer by Edwin McCravy(20054)

Question 863068: Find the remaining complex zeros of f(x) if -3 is a zero.
f(x)=x^5 + x^4 - x^3 + 7x^2 - 20x + 12
Click here to see answer by solver91311(24713)

Question 863136: What is 2x to the second power plus 7x plus three
Click here to see answer by ewatrrr(24785)

Question 863367: simplify rational expression state excluded values x�-x-6/x+2
Click here to see answer by ewatrrr(24785)

Question 863573: Find a polynomial function f(x) of degree 3 with real coefficients that satisfies the given conditions. Zeros of 2, -3, and 5; f(3)=6
Click here to see answer by Fombitz(32388)

Question 863726: I need to find LCD of: 1/2x^2 + 3/10^x. Is it 10x^2?
Click here to see answer by ewatrrr(24785)

Question 863929: I am having problems figuring out 2 questions. The first one is factor the trinomial or state that it is prime:
x^2+6x-7, I have been working on this and believe that it is prime?
and the second one is: 2x-2/x * 5x^2/4x-4, I have been working on this and think it might be 5x/2?
Thank you
Click here to see answer by mananth(16946)

Question 863189: -7x2^+2x3^+4x-14
Click here to see answer by tommyt3rd(5050)

Question 864065: Mrs. Perrin, the school music teacher, spent twice as much money on sheet music as she did on CDs. The total amount of money that she spent for sheet music and CDs was one third of her monthly music budget of $189. How much money did Mrs. Perrin spend on sheet music?

Click here to see answer by ewatrrr(24785)

Question 864080: Choose the answer that expresses the area of this square as a trinomial,when all of the sides are all (2y+3)?

Click here to see answer by harpazo(655)

Question 864216: Find a polynomial having real coefficients, with the degree and zeroes indicated. Assume the lead coefficient is 1.
degree 4, X= -1, x= 2, x= i
Click here to see answer by ewatrrr(24785)

Question 864194: Find all rational, irrational and complex solutions for:

I know by Descartes' rule of zeros (and solving) that there should be 2 positive values for x : 1/2 and
There should also be two negative values as well.. how do I find them?
Click here to see answer by rothauserc(4718)

Question 864280: How do i find the complex zeros of the polynomial function. and write f in factored form. I am completely lost when it comes to this. Any help would be great thank you.
Click here to see answer by richwmiller(17219)

Question 864306: Solving higher polynomials, remainder, factor and rational root theorems:
Determine the points of intersection of
and
I know from graphing that there is one point of intersection but how do I determine it using remainder, factor and rational root theorems? I've tried but keep getting the wrong answer.

Thanks
Click here to see answer by richwmiller(17219)

Question 864317: x^2-4/x^2-4x+4
Click here to see answer by jim_thompson5910(35256)

Question 864370: factor the expression 2x^2-13x+6
Click here to see answer by jim_thompson5910(35256)

Question 864402: How do I solve or simplify (x^2+3x+2)/(x^2-3x-4) ?
Click here to see answer by jim_thompson5910(35256)

Question 864344: Please help me solve this equation: x^2+x > equal to 6
Click here to see answer by lwsshak3(11628)

Question 864504: Use dimensional analysis and the following facts to convert to 10 miles to yards.
1 foot=12 inches 1 yard=3 feet 1 mile=5280
10 miles = __ yards
Click here to see answer by LinnW(1048)

Question 864502: The fastest winning speed was 90 miles per hour. How many feet per second is this?
__ feet per second is 90 miles per hour?
Click here to see answer by LinnW(1048)

Question 864505: Use dimensional analysis to convert the quantity to the indicated units.
15 ft to in.
____ in?
Click here to see answer by ewatrrr(24785)

Question 864486: How to find an integer solution
Click here to see answer by Fombitz(32388)

Question 864439: The expression 15/(x+8) + 10/x represents total time to complete bike ride and x represents cyclist's average riding speed. I need to simplify and find the total time it took to complete the ride.
Is common denominator x(x+8)?
Click here to see answer by ewatrrr(24785)

Question 864529: write each polynomial in standard form. then name each polynomial based on its degree and number of terms.

i tried this:
(4)(y^3)=4y^3
(4)(y^2)=4y^2
4xy^3-4xy^2=4y^3-4y^2
4y^3-4y^2+3
4y^3-4y^2+3y
Click here to see answer by Fombitz(32388)

Question 864629: If a teacher can finish a test 3 times faster than a student that finishes it in 40 minutes how would you write an equation to determine how many minutes it would take for both teacher and student to finish the test if working together? Would equation be 1/x +1/3x=1?
Click here to see answer by josgarithmetic(39613)

Question 864561: How do you solve each equation by factoring?
1/4x2=25

Click here to see answer by mananth(16946)

Question 864732: In a company that designs pollution control equipment, the equation where d is the number of thousands of dollars per month and k is the number of millions of kilowatt hours per month used in the business:
a) find the cost of 1.5 million kwh - I got 25.38 thousand
b) According to the model, how much would you pay if no electricity were used in a given month and why? -I got 1 (thousand) +1 is a constant in the equation
c) how much electricity can be used without the bill exceeding $35 000 per month? I got 2.6 (million kwh) I'm not sure if this is right.

Click here to see answer by ewatrrr(24785)

Question 864865: Find a simplified expression for [fog](x):
f(x)=, g(x) =
Click here to see answer by josgarithmetic(39613)

Question 864944: Factorise the following (polynomial):
(a+b)^3-(a-b)^3
Click here to see answer by ben720(159)

Question 864944: Factorise the following (polynomial):
(a+b)^3-(a-b)^3
Click here to see answer by Alan3354(69443)

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