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

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Question 960777: A storage company needs to design a new storage box that has twice the volume of its largest box. Its largest box is 5 ft long, 4 ft wide, and 3 ft high. The new box must be formed by increasing each dimension by the same amount. Find the increase in each dimension.
Click here to see answer by josgarithmetic(39616)

Question 960814: Write the answer in simplest standard form:
(x^2+2x-3)-(x^2-4)

Click here to see answer by MathLover1(20849)

Question 960816: factor the expression:
12abc^2-24a^2c
Click here to see answer by MathLover1(20849)

Question 960840: A candy store finds that it can make a profit of P dollars each month by selling x boxes of candy. Using the formula: P(x) = -.0013x2 + 5.5x � 800, how many boxes of candy must the store sell in order to maximize their profits? What is the maximum profit?
Click here to see answer by stanbon(75887)

Question 960841: An ice cream store made a profit of $35700 in 1990 and a profit of $85360 in 2008. Write an equation that can be used to predict the profit, y, in terms of the year, x. Let x=0 represent the year 1990.
� Predict the profit for the year 2011.
� What does the y-intercept represent in the context of this problem?
Click here to see answer by stanbon(75887)

Question 960838: A rectangle has a length of 3x +9 and a width of 5x -4. The perimeter of the rectangle is 106
units. Find the width of the rectangle.
Click here to see answer by stanbon(75887)

Question 960838: A rectangle has a length of 3x +9 and a width of 5x -4. The perimeter of the rectangle is 106
units. Find the width of the rectangle.
Click here to see answer by macston(5194)

Question 960907: A cubic polynomial function f has leading coefficient 2 and constant term 7. If f(1)=7 and f(2)=9, what is f(-2)?
Click here to see answer by stanbon(75887)

Question 960963: Which of the following is equivalent to the expression 16x^8-100y^6 ?
A. (8x^4+50y^3)(8x^4-50y^3)
B. (8x^4+50y^4)(8x^4-50y^2)
C. (4x^4+10y^3)(4x^4-10y^3)
D. (4x^4+10y^4)(4x^4-10y^2)

Click here to see answer by Alan3354(69443)

Question 960964: Which of the following is equivalent to the expression 16x^8-100y^6 ?
A. (8x^4+50y^3)(8x^4-50y^3)
B. (8x^4+50y^4)(8x^4-50y^2)
C. (4x^4+10y^3)(4x^4-10y^3)
D. (4x^4+10y^4)(4x^4-10y^2)

Click here to see answer by Alan3354(69443)

Question 960957: The expression below can be rewritten in several ways.
(4x-5y)(16x^2+kxy+25y^2)
If this expression can be represented by (a+b)^3 where a and b are algebraic terms, what is the value of k?
A. -40
B. -20
C. 9
D. 40
Click here to see answer by ankor@dixie-net.com(22740)

Question 960981: what is x^4-(x-6)^2
Click here to see answer by Alan3354(69443)

Question 960982: Please help me solve this equation: [[(x^3-8x^2+13x-6/x^2-7x+6)+x^2+x+2]\(x+1)-1]^2/[(1+x)^2-(1-x)^2]
Click here to see answer by Alan3354(69443)

Question 960978: Please help me solve this equation:[(5/1+x^((3x+2/x^2-2x+1)-(6/x^2-1)-(3x-2/x^2+2x+1)))\(50/x^6-1]/(x^4+x^2+1/x^-1)
Click here to see answer by Alan3354(69443)

Question 961095: How do you factor (a+b)^4-(a-b)^4 ?
Click here to see answer by MathLover1(20849)

Question 961193: u^2-12u+36
------------------
u-6
Click here to see answer by addingup(3677)

Question 961542: It is true that 5x^2-5x-30=(5x-15)(x+2). Explain why this is not the completely factored form of that trinomial.
Click here to see answer by stanbon(75887)

Question 961544: I need help with this problem x^3=x^2+30x. The directions are solve the given equations by any method you choose. Please show me step by step for this problem.
Click here to see answer by Alan3354(69443)

Question 961563: Hey I need help. The problem is the area of a rectangle is given by a polynomial function A(x)=a^2b^2-ab-6. If the length of the rectangle is (ab-3), what would my width be? Show me step by step please.
Click here to see answer by stanbon(75887)

Question 961578: What is the answer to 1xy-20x^2y^2
Click here to see answer by Alan3354(69443)

Question 961614: I don't understand a problem can somebody help me step by step with this. It is x^3=x^2+30x and the directions says solve the given equations by any method.
Click here to see answer by josgarithmetic(39616)

Question 961715: I sent a problem yesterday and didn't get a response so can somebody please help me step by step with this problem. x+3/x+2- x+4/x+3= x+5/x+4- x+6/x+5. The / means fractions. I really don't understand this problem.
Click here to see answer by addingup(3677)

Question 961881: M^4 +m^3=100m^2+ 100m

Click here to see answer by Alan3354(69443)

Question 961929: Help me with this problem x^2/6-x/2-3=0. the directions is solve the given equation by any method. I am having trouble with it. show me step by step.
Click here to see answer by josgarithmetic(39616)

Question 961904: for f(x)= x^3-7x^2+8x+16,
a, find f(10) using synthetic division.
b, is 10 a zero of the function? Explain.
c, use synthetic division to determine if x+1 is a factor of f(x).
d, is -1 a zero of the function? Explain.
e, list all of the zeros of the polynomial.
f, write the polynomial function as a product of linear factors
Click here to see answer by josgarithmetic(39616)

Question 961971: I have 6 zeros, (x), (x-2), (x-5), (x-5), (x-7) and (x-9). How do I take these zeros and form them into a polynomial equation?
Click here to see answer by Edwin McCravy(20054)

Question 962358: "The length of a rectangular patio is 8 feet less than twice it's width. The area of the patio is 280 square feet. Find the dimensions of the patio."
I know for this problem that:
l=2w-8
w=w
However when I try to put the equation together, it doesn't work out at the end. Thanks for the help
Click here to see answer by stanbon(75887)

Question 962390: Subtract 2x+1 from the sum of 3x-2 and 11x+5.
Please show work, thank you!
Click here to see answer by MathLover1(20849)

Question 962388: subtract the polynomials:
(3/2p^2-5/4p+9)-(1/6p^2+1/8p+8)
Click here to see answer by macston(5194)

Question 962435: Without solving the equation 3x^2-8x-3=0 show that it has two different rational roots
Click here to see answer by Alan3354(69443)

Question 962511: Find the exact zeros (show your work using synthetic division and\ or factoring )F(x)=x^3-7x^2+13x-3
Click here to see answer by tommyt3rd(5050)

Question 961296: what is the leading coefficient of -3x^2+2x+5x^3
Click here to see answer by tommyt3rd(5050)

Question 962512: Bob hits a cricket ball into air. The height (in feet) of the ball at time tseconds is given by h(t)=-10.5t^2+66.3t + 6. Find the maximum height the ball reaches and the time in seconds when that maximum height occurs
Click here to see answer by josmiceli(19441)

Question 962690: 6g^3-24g^2+24g
Click here to see answer by Alan3354(69443)

Question 962870: Is the equation:
n^2+16n-64
a perfect square? If so how do you simplify it into two binomials?
Click here to see answer by Alan3354(69443)

Question 962872: Write a polynomial in standard form with the given zeros.
-3, -1, 2
Click here to see answer by Alan3354(69443)

Question 962873: The polynomial x^3 + 2x^2 − 29x + 42 has -7 as one zero. Find the quadratic factor.
Click here to see answer by Alan3354(69443)

Question 962878: Factor the expression on the left side of the equation. Then solve the equation.
x^6 + 128x^3 + 4096 = 0
Click here to see answer by josgarithmetic(39616)

Question 962920: Express f(x) in the form f(x)=(x-k)q(x) + r for the given value of k
f(x)=2x^3 +x^2 + x - 6, k=-1
Click here to see answer by josgarithmetic(39616)

Question 962951: Which of the following values of k makes the polynomial; x^{2}+9x+k ; a perfect square?
1:81/2
2:81/4
3:81
4:2/81
Click here to see answer by Fombitz(32388)

Question 963026: Factor the binomial
16x^2-81y^2 (please explain how you received your answer) Thanks :)
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, 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