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

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

Question 75670: Multiply. [(1/2)x+(1/3)][(1/2)x-(1/4)]

Thanks for helping
Click here to see answer by jim_thompson5910(35256)

Question 75707: Find a polynomial f(x) of degree 3 that has the indicated zeros -2 1 5 and satisfies the given condition f(3)= -40.
I get most of the problem. THe thing that I dont understand is how they got from 2(x+2)(x-1)(x-5) to 2(x^3 - 4x^2 - 7x + 10)
thank you
Click here to see answer by stanbon(75887)

Question 75687: x+4/x^3-3x^2-4x+12 + 3/x^2-5x+6 = 3x/x^2-4.
This problem is not working out for me, I come up with x^2+3x+8=0
Click here to see answer by ankor@dixie-net.com(22740)

Question 75753: I do not know what this is asking me. Please help.
Rewrite the middle term as the sum of two terms and then factor completely.
4z^3 � 18z^2 -10z

Click here to see answer by checkley75(3666)

Question 75748: Factor each polynomial completely. To begin, state which method should be applied as the first step, given the guidelines of this section. Then continue the exercise and factor each polynomial completely.
M^4 � 9n^4

Click here to see answer by checkley75(3666)

Question 75745: Remove the parentheses in each of the following expressions and simplify when possible.
8d � (-7c -2d)

Click here to see answer by bucky(2189)

Question 75769: A triangle has 3 sides: b � 2, 2b + 4, and 3b -6. Find the expression that represents its perimeter.
Click here to see answer by checkley75(3666)

Question 75751: Factor completely.
9x^2 + 12xy + 4y^2 -25

Click here to see answer by checkley75(3666)

Question 75740: Find the values of each of the following polynomials for the given values of the variable.
-x^2-5x-6, x = -3 and x = -2

Click here to see answer by checkley75(3666)

Question 75747: Factor each polynomial completely. To begin, state which method should be applied as the first step, given the guidelines of this section. Then continue the exercise and factor each polynomial completely.
2p -6q + pq � 3q^2

Click here to see answer by Cintchr(481)

Question 75823: (2x^2-4x+2)/(x-1)
Click here to see answer by terbear1963(43)

Question 75850: Please help. factor by grouping and choose best answer
X^2 + 12X - 3
A.) (x+3)(x-1)
B.) (x-3)(x+1)
C.) (x+3)(x+9)
D>) prime

Click here to see answer by tutorcecilia(2152)

Question 75852: Please help! show me how... thanks!
x2+12x-3

Click here to see answer by checkley75(3666)

Question 75778: I have a question on polynomials with prescribed zeros. The problem is find polynomial f(x) of degree 4 that has real coefficients and zeros 2+i and -3i. I get most of the problem but what i dont understand is how they got from (x-2+i)(x-2-i)(x+3i)(x-3i) to (x^2-4x + 5)(x^2 +9) and then to x^4-4x^3+14x^2-36x +45. ALso is it the same steps to get from (x^3+1)(x^2-4) to (x+1)(x^2-x+1)(x+2)(x-2). Thank You
Click here to see answer by ankor@dixie-net.com(22740)

Question 75915: Help!!! Please : )
I need to factor:

Click here to see answer by stanbon(75887)

Question 75913: Geometry. A triangle has sides 3x +7, 4x-9, and 5x +6. Find the polynomial that represents its perimeter.
Click here to see answer by checkley75(3666)

Question 75913: Geometry. A triangle has sides 3x +7, 4x-9, and 5x +6. Find the polynomial that represents its perimeter.
Click here to see answer by Cintchr(481)

Question 75914: Subtract.
4x � 2x^2 + 4x^3 from
4x^3 + x � 3x^2

Click here to see answer by checkley75(3666)

Question 75907: Factor. Please help me.
-X^2-6X+16
Click here to see answer by Cintchr(481)

Question 75908: Please help factor, thanks for all the help!
24x^4+7x^2-5
Click here to see answer by checkley75(3666)

Question 75936: how do you write to simplest for?
4x-28
over
5x-35
Click here to see answer by stanbon(75887)

Question 75939: could you help me express and simplify this?
5a-12
over
a^2-8a+15
minus
3a-2
over
a^2-8a+15
Click here to see answer by Cintchr(481)

Question 75938: how do i express and simplify?
5
over
4cd
plus
11
over
4cd
Click here to see answer by jim_thompson5910(35256)

Question 75934: writing to the simplest form can someone check this for me please!
-15x^3y^3
over
-20xy^4
= 3*5*x*x*x*y*y*y
over
2*2*5*x*y*y*y*y
=3x^2
over
4y
Click here to see answer by bucky(2189)

Question 75935: can someone help me write to simplest form
4r^2-25s^2
over
2r^2+3rs-20s^2
Click here to see answer by bucky(2189)

Question 75831: Write each expression in simplest form.
4x � 28 / 5x - 35

Click here to see answer by rmromero(383)

Question 75830: Write each fraction in simplest form.
- 15x^3y^3/ - 20xy^4

Click here to see answer by rmromero(383)

Question 75833: Multiply the following fraction.
2x^2 � x -3 / 3x^2 + 7x + 4 * 3x^2 � 11x � 20 / 4x^2 - 9

Click here to see answer by rmromero(383)

Question 75962: Write fraction in simplest form.
42x^3 y/14xy^3

Click here to see answer by rmromero(383)

Question 75961: Add or subtract as indicated. Express your results in simplest form
5a � 12/ a^2 � 8a + 15 � 3a � 2/ a^2 � 8a + 15
Click here to see answer by rmromero(383)

Question 75961: Add or subtract as indicated. Express your results in simplest form
5a � 12/ a^2 � 8a + 15 � 3a � 2/ a^2 � 8a + 15
Click here to see answer by funmath(2933)

Question 75955: Add or subtract as indicated. Express your results in simplest form
x^2/ x -3 � 9/ x -3
Click here to see answer by funmath(2933)

Question 75960: Add or subtract as indicated. Express your result in simplest form.
2/ 5w + 10 � 3/ 2w � 4

Click here to see answer by rmromero(383)

Question 75959: Add or subtract as indicated. Express your result in simplest form
3/ x^2 + 4x +3 � 1/ x^2 � 9
Click here to see answer by funmath(2933)

Question 75937: please help me multiply?
2x^2-x-3
over
3x^+7x+4
times
3x^2-11x-20
over
4x^2-9
Click here to see answer by Cintchr(481)

Question 75954: Add or subtract as indicated. Express your results in simplest form
5 / 4cd + 11 / 4cd

Click here to see answer by tutorcecilia(2152)

Question 76002: Hi, um well i just finished taking a test on polynomials and i was stumped on one question and it was like 4x(cubed) + 3x(squared) + 2x + 1. so the question was is the degree and I put 3. To my understanding, i thought degree ment the highest exponent in a polynomial. Am I correct or wrong??
Click here to see answer by funmath(2933)

Question 76000: Give an example of a polynomial with degree 3 such that when factored, it contains the two factors (x+5) and (2x-1), i.e., the polynomial looks like (x+5)(2x-1)(?). How many such polynomials you think there are? What if I add the constraint that the value of this polynomial is zero when the variable x is equal to 1, how many such polynomials can you find?
Click here to see answer by jim_thompson5910(35256)

Question 76042: could you please help me i think i subtract this?
2/5w+10
minus
3/2w-4
Click here to see answer by checkley75(3666)

Question 76038: please help me solve this problem:15w-10w+5
Click here to see answer by checkley75(3666)

Question 76072: how do u factor a polynomial when it is a^2-4 is that prime since there are no factors that can be simplyfied is there a step by step solution?
Click here to see answer by Cintchr(481)

Question 76079: Please help factor, this one, I find very difficult. thanks!

(t^2+2)^2+4(t^2+2)-32
Click here to see answer by rmromero(383)

Question 76044: i need a little help subtracting this please!
3
over
x^2+4x+3
minus
1
over
x^2-9
Click here to see answer by Cintchr(481)

Question 76081: Please help factor, this one, I find very difficult. thanks!
(t^2+2)^2+4(t^2+2)-32

Click here to see answer by bucky(2189)

Question 76083: Please help factor my homework question. thanks!
(2q+5)(3q-4)= 0

Click here to see answer by Edwin McCravy(20054)

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