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

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

Question 972546: Jeremiah found the product of 31 and 29 as 899 by finding 30^2 and subtracting 1. Explain how Jeremiah could justify this approach.
Click here to see answer by Alan3354(69443)

Question 972545: 5/x=8/15

Click here to see answer by Alan3354(69443)

Question 972549: Could someone please walk me though this question?
[-24 over 32-8x ] +[ 4x+1 over x^2-7x+ 12]
I factored the denominators and got 8(4-x) for the first term and (x-3)(x-4) for the second term but I am not sure what to do after that.
Click here to see answer by stanbon(75887)

Question 972554: PLEASE ANSWER ASAP I NEED HELP!!
Could you please factor this equations and show the steps you took.
1.) 5x^3-40
2.) x^3+64
3.) x^2+36
Click here to see answer by reviewermath(1029)

Question 972651: Hi. Thank you so much for the help you have given me thus far,but I need help with this problem. I am solving rational expressions and I am having a hard time trying to solve this equation:
6+4/(x-3)=3x+1/(x-3)
I started to work this problem by multiplying each term by the LCD which is (x-3)
6(x-3)+4/x-3(x-3) + 3x+1/x-3(x-3)
Then I cross cancelled the x-3 terms which allowed me to have the equation:
6x-18 + 4=3x+1 Is this right so far? I'm not so sure that is why I hope you can help me.
Click here to see answer by josgarithmetic(39613)

Question 972841: I'm not really sure if this is an appropriate place to put this, since this is a precalculus question. Anyways, if you can help me solve this problem, thanks.
Factor using the binomial theorem
X^12 + 4x^9(y^3) + 6x^6(y^6) + 4x^3(y^9) + y^12
I hope that's readable. This was a question on my test, and I had no idea what to do. I got (x+(33/2y))^6, but I don't remember how I got it. Either way, my answer's wrong. Finals are coming up, and this question might be on it. Again, thanks.
Click here to see answer by solver91311(24713)

Question 972807: Use long division to find the quotient below.
(x2 + 15x + 56) (x + 8)
Click here to see answer by Boreal(15235)

Question 972954: the sum of two numbers 89. Adding four times the first number to the second number gives 155. what equation can be used to solve this problem?
Click here to see answer by MathLover1(20849)

Question 972987: How to solve these problems?
1.) (2x^2+3x-6)+(x^2-18x+6)
2.) 3(8)-2(-3)^2
3.) 36x^4-8x^3-28x^2
4.) (9x-7)(x-1)
5.) 4x^2(9x+7)(x-1)
6.) (3x-2)(2x-3)
7.) (4x-7^2)
Click here to see answer by solver91311(24713)

Question 972983: please help me simplify this
(5/2x)+(1/6)
thank you!
Click here to see answer by rothauserc(4718)

Question 973082: Is 9x^2+8x-4x^3+3 a polynomial with a degree of 2?
Click here to see answer by jim_thompson5910(35256)

Question 973105: 4x^4-16

Click here to see answer by stanbon(75887)

Question 973179: (w+7) (w+3)
Click here to see answer by MathLover1(20849)

Question 973241: If (a+b)^2=64 and (a−b)^2=4, what is the value of ab?
Click here to see answer by Boreal(15235)

Question 973237: I am really frustrated with this problem, can you help me?
5/x+7 + 4/x-3 = x-11/x^2+4x-21
My first step was to factor the equation x^2+4x-21 which I found to give me (x+7)(x-3). but now I don't know where to go from here. I would appreciate your assistance. Thank you
Click here to see answer by Boreal(15235)

Question 973236: I need help solving this rational expression. Here is the problem:
2x-3/x+4 = x-3/x-4
How do I solve for this RE?
Click here to see answer by Boreal(15235)

Question 973306: Hello. Can you help me with this equation?
2x-3/(x+4)=x-3/x-4
I have tried to cross multiply by multiplying 2x-3(x+4) and (x-3)(x-4) which gave me 2x^2+8x-3x-12 = x^2-4x-3x+12. From here I simplified the equations so they looked like this:
2x^2+5x-12 = x^2-x+12 but here's where I stumble. The answer in the book is
(0,18) but I'm not getting this.
Click here to see answer by Boreal(15235)

Question 973316: Find the intercepts of the rational equation:
R(x)= x^2+2/x-1
Click here to see answer by josgarithmetic(39613)

Question 973315: Find the vertical asymptote(s) of the rational function:
R(x)= 3x^2-2x-1/ 2x^2+3x-2
Click here to see answer by josgarithmetic(39613)

Question 973378: (X+9)(X-2)
Click here to see answer by algebrahouse.com(1659)

Question 973418: How do I find two different polynomials with the only zeros being -2 and 1

Click here to see answer by Alan3354(69443)

Question 973388: please answer this (6a3+1)(6a3+1)
Click here to see answer by macston(5194)

Question 973472: Could you help me factor the polynomial t2 + 4z2 and explain how it's done?
Click here to see answer by stanbon(75887)

Question 973472: Could you help me factor the polynomial t2 + 4z2 and explain how it's done?
Click here to see answer by Alan3354(69443)

Question 973507: The sum of two numbers is 30. The first number is 1/2 of the second number. What are the numbers? What is the smaller of the two numbers? What is the larger of the two numbers?
Click here to see answer by amarjeeth123(569)

Question 973583: Factor by grouping: 18n3+42n2+21n+49
Click here to see answer by Boreal(15235)

Question 973583: Factor by grouping: 18n3+42n2+21n+49
Click here to see answer by stanbon(75887)

Question 973655: One highway worker can pick up all the trash on a strip of highway in 5 hours, and his helper can pick up the trash in 7 hours. How long will it take them if they work together?
Click here to see answer by stanbon(75887)

Question 973653: For a fixed voltage, the current in an electrical circuit varies inversely as the resistance in the circuit. If a certain circuit has a current of
2 1/2 amps when the resistance is 140 ohms, find the current in the circuit when the resistance is doubled.
amps
Click here to see answer by Boreal(15235)

Question 973654: A woman can bicycle 20 miles in the same time that it takes her to jog 10 miles. If she can ride 5 mph faster than she can jog, how fast can she jog?
Click here to see answer by stanbon(75887)

Question 973666: what multipies to get -12 but adds to get -21?
Click here to see answer by KMST(5328)

Question 973676: If b and c are real numbers so that the polynomial x^2+bx+c has 3+i as a zero, what is the value of b+c?
Click here to see answer by josgarithmetic(39613)

Question 973769: what is the complete factored form of the polynomial 6xy-8x^2?

Click here to see answer by Fombitz(32388)

Question 973791: 3x^2+7x+2 write each factor as a polynomial in descending order
Click here to see answer by stanbon(75887)

Question 973792: Given that x = 1 - 2i is a root of , the real solutions to this equation are x = 3 +- sqrt b what is b?
Click here to see answer by Alan3354(69443)

Question 973895: Please help me to solve this eqn x^3+5x^2+8x+4
Click here to see answer by Alan3354(69443)

Question 973895: Please help me to solve this eqn x^3+5x^2+8x+4
Click here to see answer by Boreal(15235)

Question 973909: a�-ac�
Click here to see answer by MathLover1(20849)

Question 974508: two x to the power of two + 11 x = 5
Click here to see answer by Boreal(15235)

Question 974560: I have to find any Extraneous solution for this rational equation: 7 is = to 1 over x and that subtracted by four 4
Click here to see answer by Alan3354(69443)

Question 974546: (x^2-9)/(6-2x^2) Please help:)
Click here to see answer by Alan3354(69443)

Question 974559: I have to find any Extraneous solution for this rational equation 3x divided by x+1 = to 2x-1 divided by x+1
Click here to see answer by josgarithmetic(39613)

Question 974559: I have to find any Extraneous solution for this rational equation 3x divided by x+1 = to 2x-1 divided by x+1
Click here to see answer by MathTherapy(10549)

Question 974749: Find a polynomial equation with real coefficients that has the given zeros.
1-2i and 1+2i
Click here to see answer by amarjeeth123(569)

Question 974906: form a polynomial with a degree:5 zeros: -5;-i,-9+i
Click here to see answer by solver91311(24713)

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, 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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, 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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, 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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