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

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

Question 267716: I have to solve using the principle of zero product
b(b+16)(b+3)=0 I know I have to set each to zero...but unclear on how to set it up...please help
Click here to see answer by dabanfield(803)

Question 267799: Can you please do this problem step by step.
x/(x+1)^2 + 2/X+1
Click here to see answer by stanbon(75887)

Question 267811: Multiply. (5^2+10)(2^2+2)
Click here to see answer by Alan3354(69443)

Question 267733: What is the answer to this negative exponents problem ?
Click here to see answer by ankor@dixie-net.com(22740)

Question 267946: how do you factor this polynomial?
y^3-y^2+y-1
the answer in the back of the book says (y-1) (y^2+1) but i don't know how they got that.
Click here to see answer by shani(1)

Question 268019: The first step in reducing a rational expression is to factor both its _____ and denominator.

Click here to see answer by stanbon(75887)

Question 267865: factor the polynomial by grouping
4x^3-4x^2-9x+9
Click here to see answer by ankor@dixie-net.com(22740)

Question 268249: Please help me reduce the rational expression to lowest terms: {x^2-7x+12}:{x^2-16} I tried it and reduced it to x-3:x-4. I am not sure if it is right. Thanks for your help!
Click here to see answer by vleith(2983)

Question 268289: Hi I need help with an example problem so I can do all the other problems. The problem is p to the power of negative 3, times q to the power of negative two, all over q to the power of negative 3, times r to the power of five. This is all to the power of 4. I get most of these problems, but I don't get the more complicated ones. Could you work it out step by step?
Click here to see answer by ankor@dixie-net.com(22740)

Question 268324: This question has to do with "To multiply polynomials that have special products" it asks to simplify or expand. Here is the question.
(x-y)^2-(x+y)^2 Ive tried to work out the problem a various ways; however, I can never seem to work out properly. I know the correct answer is -4xy just not sure hot to get it.
Click here to see answer by Alan3354(69443)

Question 268332: This is dividing polynomials using long division. The problem is as follows:
2x^3-3x^2+6x+4/2x+1 I've tried just dividing, but that doesn't seem to figure out right. Not sure how to use long division with polynomials.
Click here to see answer by stanbon(75887)

Question 268328: This question concerns dividing polynomials using long division. I think I may have figured the first few steps, jsut unsure how to complete.
x^3-5x^2+7x-4/x-3 I started to try divide then just totally got lost. Any help would be much appreciated.

Click here to see answer by mylifer0x(1)

Question 268431: Good morning guys.
My question is:
Assuming no denominator equals 0 and that X and Y are integers greater than 1, simplify the fraction yx^2m
______
y^m-1 x^n
I combined exponents
X^2mn
_______
Y^2^m-1
And the answer I got
Y^-m x^2m+n
Any help is much appreciated. Thank you all!
Click here to see answer by Alan3354(69443)

Question 268475: 18y^2-43y+32=
how do i solve polynomial
Click here to see answer by Alan3354(69443)

Question 268475: 18y^2-43y+32=
how do i solve polynomial
Click here to see answer by checkley77(12844)

Question 268482: 45c^2-32cd
how do i solve it
Click here to see answer by drk(1908)

Question 268487: is this polynomial in descending order for the variable y.

4x^2y+3xy^2+2
Click here to see answer by drk(1908)

Question 268497: Solve for W, answer in interval notation: w^2+1/w+7 < or = 1/w+7
I came up with w=0 or (-infinity,-7]
Click here to see answer by jim_thompson5910(35256)

Question 268573: the sides of a rectangle have lengths x+3 and x-1. write a polynomial function that represents the perimter (p) of the rectangle
Click here to see answer by stanbon(75887)

Question 268576: the product of 2 consecutive positive integers in 71 more than their sum. Find the integers.

Click here to see answer by checkley77(12844)

Question 268407: Please refresh my memory on how to solve:
solve x= 1 - 3/x-3
Thank You!
JB in Indy
Click here to see answer by ankor@dixie-net.com(22740)

Question 268628: Solve the following:
(2f+5)^2
Click here to see answer by user_dude2008(1862)

Question 268636: When a polynomial is not factorable what is it called? Why?
Give example.
Click here to see answer by user_dude2008(1862)

Question 268664: w-3/ w-8 -w+1/w+8 + w-88/w^2-64
Ive been doing these kind of problems and I just cant get it right, I think i have the steps down then they are wrong,

Says to perform indicated operations and simplify
Click here to see answer by drk(1908)

Question 268467: i really need help with this.
[4 - (3c - 1)][6 - ( 3c - 1)]
Click here to see answer by ankor@dixie-net.com(22740)

Question 268680: One leg of a right triangle is 6 cm shorter than the other leg. The length of the hypotenuse is 30 cm. Find the length of the longer leg.
Click here to see answer by palanisamy(496)

Question 268682: If Bob is two years older than Tom and the product of their ages is 528, what are their ages?
Click here to see answer by palanisamy(496)

Question 268678: why is x2 + 3x + 1 non-factorable?

Click here to see answer by josmiceli(19441)

Question 268650: Choose three integers a, b,c. Now use a, b, c to create a trinomial ax^2 + bx + c. Can you factor this trinomial? How would you create atrinomial that will factor?
Click here to see answer by josmiceli(19441)

Question 268679:
How can you check the answer to a factoring problem?
Click here to see answer by drk(1908)

Question 268714: Suppose Charlie O�Brian of the Braves hits a
baseball straight upward at 150 ft/sec from a height of 5 ft.
a) Use the formula to determine how long it takes the ball
to return to the earth.
b) Use the accompanying graph to estimate the maximum
height reached by the ball
Click here to see answer by Alan3354(69443)

Question 268711: find the exact area of a triangle with a base of sqrt(30) meters and a height of sqrt(6 meters)
Click here to see answer by Alan3354(69443)

Question 268711: find the exact area of a triangle with a base of sqrt(30) meters and a height of sqrt(6 meters)
Click here to see answer by Earlsdon(6294)

Question 268710: Factor out the GCF of the polynomial
(x^2-3x)(x^2+4x+5)+(6x+2)(x^2+4x+5)
Click here to see answer by persian52(161)

Question 268637: Divide and simplify. (z^2-1/4z+4)/(z-1/2)
Click here to see answer by persian52(161)

Question 268633: Simplify by removing factors of 1. 14x^2-686/4x^2-196
Click here to see answer by persian52(161)

Question 268633: Simplify by removing factors of 1. 14x^2-686/4x^2-196
Click here to see answer by jsmallt9(3758)

Question 268547: Factor by grouping if possible:
2x^2-8x+xy-4y
Factor completely:
x^2-x-20
36x^2-y^2
x^2+22x+121
Click here to see answer by persian52(161)

Question 268852: We are working with lines in class, and i have a slanted line with the corrordinates (6,4) and (6,-3). We have to find the slope-intercept form, the standard form, and the perpindicular equation. Do you know how to do this? Please help if you can. Thanks so much.
Click here to see answer by Alan3354(69443)

Question 268851: We are working with lines right now, and I have to find the slope-intercept form and standard form of a vertical line. The corrordinates are (-6,2) and (-6,4)
Please help if you can!
Thank you.
Click here to see answer by Alan3354(69443)

Question 268884: Good morning guys.
My question:
Simplify (4x^2-y^2)/(2x+y)
_____________
8x^3-y^3
I factored each term
(2x-y)(2x+y)/(2x+y)
_______________
(2x+y)(2x-y)(2x+y)
Cancelled out the like terms.
I believe my answer is either
1
_____________
4x^2+2xy+y^2
Or
4x^2-2xy+y^2

Any help is appreciated! Thank you!
Click here to see answer by Alan3354(69443)

Question 268822: Hello,
I would like to know how to solve the problem (in words since I could not type in exponents and fractions on my iPhone.)
9x squared over x-squared minus 25 + 4x over 5 minus x = x over x + 5.
I know how to factor out the common denominator (x+5)(x-5) - right?but I am stuck on the rest. I would prefer the question to be answered including steps, by tomorrow (February 12, 2010) at 8:00
am. Thanks in advance!
~S.N.
Click here to see answer by user_dude2008(1862)

Question 268798: -15w^0u^-1 OVER 5u^3

Click here to see answer by persian52(161)

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