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

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Question 119794: solve 2h^2-h-3=0
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Question 119788: x^3+2x^2-5x-6
_____________
X+3
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Question 119795: Solve 2w(4w+1)=1
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Question 119796: m^3+2m^2-3m=0
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Question 119797: Solve 1/18h^2-1/2h+1=0
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Question 119787: Solve 3= -3(9+1)(3-8)
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Question 119773: How do I solve long division of x^3-4x^2-3x-10 divided by x-5?
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Question 119812: It is telling me to solve equations by factoring. for example: 24xcubed=10xsq+6x for x
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Question 119634:
(4X-3Y)(X-2Y)
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Question 119634:
(4X-3Y)(X-2Y)
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Question 119827: A homeowner is considering installing a swimming pool in his backyard. He wants its length to be 5 yards longer than its width, to make room for a diving area at one end. Then he wants to surround it with a concrete walkway 4 yards wide. After finding out the price of concrete, he decides that he an afford 424 square yards of it for the walkway. What should the dimensions of the pool be?
Click here to see answer by checkley71(8403)

Question 119830: This is an odd consecutive integers word problem. I have to solve it using factoring with the principle zero. The problem says "The sum of the squares of two consecutive odd positive integers is 394. Find the integers." COuld you please help me.
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Question 119946: x^5+ x^2
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Question 120051:
write in simplest form. x^2-15x+54/ x^2-36
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Question 120066: Factor the polynomial completely, given that hte binomial following it is a factorof the polynomial. x^3+2x^2-5x-6, x+3
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Question 120111: What is the smallest root of the polynomial: x3-11x2+36x-36?
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Question 120141: 5/8=x/12
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Question 120170: This is a factoring word problem when you have to use the principle of zero. The problem says A garden that is 4 meters wide and 6 meters long is to have a uniform border such that the area of the border is the same as the area of the garden. Find the width of the border. Could you please help me?
Click here to see answer by jim_thompson5910(28704)

Question 120184: This is a factoring word problem when you have to use the property of zero. The problem says "A garden that is 4 meters wide and 6 meters long is to have a uniform border such that the area of the border is the same as the area of the garden. Find the width of the border.Could you please help me?
Click here to see answer by Earlsdon(6294)

Question 120196: This is a factoring word problem when ou have to use the principle of zero. The question is "A box 1 foot tall has a rectangular base with a length that is 1 foot more than the width. What are the dimensions of the base if the volume of the box is 6 feet^3?" I don't understand this problem. Could you please help me?
Click here to see answer by jim_thompson5910(28704)

Question 120198: I don't understand this word problem. The problem says "The perimeter of a rectangle is 60 inches., and its area is 200 inches^2. Find the dimensions of the rectangle." Could you please help me?
Click here to see answer by checkley71(8403)

Question 120259: Average...
Determine the average of the two real numbers x/3 and 2x/5.
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Question 120259: Average...
Determine the average of the two real numbers x/3 and 2x/5.
Click here to see answer by Edwin McCravy(8999)

Question 120295: (3x+y)^5
Set up is
1 5 10 10 5 1
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Question 120294: (2x-3y)^3
I know that the set up is 1( ) 3 ( ) 3 ( )1( )
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Question 120307: Simplify and Evaluate:
(x^3y^-4z^0/5x^6y^8)^3
I got
x^9 y^-12 1/5x^18y^24
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Question 120310: Factor the polymomial completely. If a ploynomial is prime say so.
9bn^3+15bn^2-14bn
Click here to see answer by checkley71(8403)

Question 120310: Factor the polymomial completely. If a ploynomial is prime say so.
9bn^3+15bn^2-14bn
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Question 120314: One side of a rectangular stage is 2meters longer than the other. If the diagonal is 10 meters, then what are the lengths of the sides?
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Question 120321: Henry invested $12,000 in a new restaurant. When the restaurant was sold two years later, he received $27,000. Find his average annual return by solving the equation 12,000(1+r)^2=27,000
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Question 120368: Find the X Intercepts of the following...
y= x^2-4x+4
Thanks
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Question 120407: How do you factor 6x^2+x-12=0. Could you please help me?
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Question 120413: THis is a factoring word problem using the principle of zero. The question says "Find two consecutive, negative integers whose product is 156." Could you please help me?
Click here to see answer by stanbon(57956)

Question 120420: I don't understand this problem because I have to find negative integers. The problem says "Find two consecutive, negative integers whose product is 156." Could you please help me?

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Question 120423: I don't fully understand area with squares and how many sides it has.This is a factoring word problem when you have to use the principle of zero. THe question says "If the sides of a square are increased by 3 inches., the area becomes 64 inches^2. Find the length of a side of the original square." Could you please help me?
Click here to see answer by jim_thompson5910(28704)

Question 120428: I don't understand and comprehend the format of the problem. The problem is a factoring problem when you have to use the property of zero. The problem says "A rug placed in a 10 foot by 12 foot room covers two-thirds of the floor area and leaves a uniform strip of bare floor around the edges. Find the dimensions of the rug." Could you please help me?
Click here to see answer by scott8148(6628)

Question 120440: I don't understand and comprehend the format of the problem. The problem is a factoring problem when you have to use the property of zero. The problem says "A rug placed in a 10 foot by 12 foot room covers two-thirds of the floor area and leaves a uniform strip of bare floor around the edges. Find the dimensions of the rug." Could you please help me?

Click here to see answer by scott8148(6628)

Question 120460: y^3-13y^2+54y-72
________________
Y-6
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Question 120489: Factor x^2-7x+12
Click here to see answer by stanbon(57956)

Question 120534: Factor completely: m^3-9m^2n+18n^2m
If anyone could help I would appricate it, I came up with m(m^2-9mn+18n^2) but it doesnt look right for some reason.
Click here to see answer by jim_thompson5910(28704)

Question 120615: x=3y+1
2x-4y=-2
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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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