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

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Question 32337: solve for x. (answer I got was either Xsquared-2x-6x+12 or zero?)

...____4____...= 1 -..._1_
.... X2+8X+12........... X+6

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Question 32627: hey,can you help me solve this polynomial using factoring.... i have tried numerous times and it doesnt work out right.....
6Xsquared+2XY+Ysquared+3XY

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Question 32626: 12c - 8d - 15rc + 10rd Please help me Factor this by Grouping
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Question 32628: hey once again i tried this problem a few times and the answer doesnt match what the teacher gave me as the answer.....
factor perfect-square trinomials and differences of squares.....
X^2Y-4Y+X^2-4
=y(x^2-4)+(x^2-4)
=(x^2-4)(y+1)
=(x-2)(x+2)(y+1)
Cheers

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Question 32630: 3a^2 - 13a + 12 Please help me factor this.
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Question 32629: factor perfect-square trinomials and differences of squares.....
6Xsquared+2XY+Ysquared+3XY

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Question 32656: (x^3-3x^2-108x)/(x-12)
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Question 32704: 12/21x - 4/ 21x
I have 8/21x as the answer, is this correct?

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Question 32703: x/x = 2 - 1/x
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Question 32702: x+1/ 2 = x+2/ 3
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Question 32686: 12n^2+8n=0
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Question 32670: 7/x+1 = 5/x-3
What is x?

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Question 32671: 6/x + x/2 = 4
What is x?

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Question 32669: x/3 - 1/3 = 2/x
What is x?

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Question 32700: x/5
_______
7/ x+5

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Question 32699: 9 + 3/x
________
x/4 + 1/12

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Question 32696: 7
___
z^2
minus

9
____
Z

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Question 32695: 3
___
y^2-3y+2
Plus
7
____
y^2-1

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Question 32727This question is from textbook algebra
: Solve the problem

Mark and Rachel both work for Smith Landscaping Company. Mark can finish a planting job in 2 hours, while it takes Rachel 4 hours to finish the same job. If mark abd Rachel will work together on the job, and the cost of labor is $45 per housr, what should the labor estimate be?
This question is from textbook algebra

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Question 32688: a^2-ab+10a-10b
______________
a+10



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Question 32693: z^2+10z+24
___________
z^2+15z=54 divided by


z^2+4z
______
z^2+2z-63

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Question 32694: Find the LCD
r-1
______
r^2+6r+5 ,
2
___
r^2+r

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Question 32691: 4y
____ * multiplyed by
8y+4

12y+6
_____
7

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Question 32687: 15K^3
______
5K Simplfy I thought the answer is 3k^3
____
5k

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Question 32689: 5-m
____
m-5
I put -1 is this correct???

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Question 32802This question is from textbook Heath Algebra 1 An Integrated Approach
: ((x^2-6x+8)/(x^2-2x))/(3x-12)
How do you know when to simplify and divide the polynomials, and when to do long division? And the, which do you do first, the sipmlifying or the dividing? Truthfully I think i need help with the over all Algebra subject, because i'm doing so well in that class.
Thank you,
J.A.
This question is from textbook Heath Algebra 1 An Integrated Approach

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Question 32771: By considering factors, find the smallest value of x such that 120x will be a perfect square.
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Question 32828: Find the Lowest common demonator or the LCD?????
r-1 2
_____ , _______
r^2+6r+5 r^2+r

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Question 30910: I need an explanation on how to properly factor this polynomial...
4a^2+12ab+9b^2-25c^2
I have tried grouping and didnt reach the solution. Thanks in advance for the help!

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Question 32799This question is from textbook Algebra 1
: How does the problem (3x to the fourth power y to the third power)(4x to the fourth power y) work.This question is from textbook Algebra 1

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Question 32876: How do you factor the expression 7n^5 + 7n^4 - 3n^2 - 6n - 3?
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Question 32888: Ima Skeepro want to store her skis and winter supplies in a closet. The closet is 0.6 deep, 1.5 wide and 2.4m tall.
ima wants to cover the left right and back side of closet with wallpaper. if wall paper sells for $4.50 per square meter how much will it cost?explain your answer

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Question 32795: (X-1)(X^2+2x-6)
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Question 32797: 12x^3y^2z - 24x^2y^3z + 16x^2y^3z^3
Factor the polynomial

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Question 32915: I worked the following problem and came up with -216a^2.
Simplify: (-2a^4)^3(3a^-5)^2

I worked the following problem and came up with 3(a^2-5a^2-14).
Factor: 3a^2-15a^2-42

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Question 32925This question is from textbook Algebra
: Solve the problem.

Jan can run 5 miles per hour on level ground on a still day. One windy day, he runs 10 miles with the wind, and in the same amount of time runs 6 miles against the wind. What is the rate of the wind?
This question is from textbook Algebra

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Question 32927: 6y^2-41y-7
( 6y-1)(y-7)



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Question 32690: 4y 12y+6
____ * ______
8y+4 7

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Question 32965: ima skeepro wants to store her skies and winter supplies in a closet. the closet is 0.6 m deep, 1.5 m wide and 2.4 m tall.
ima's skis are 2.8 meters long. can these skies fit in the closet? explain your reasoning

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Question 32923This question is from textbook algebra
: Solve the Problem...


Five divided by the difference of a number and 7 equals the quotient of 10 and the sum of the number and 6. Find the number.
This question is from textbook algebra

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Question 33091: Hello, sorry to be a bother!!! But I need help a usual!! Here are my problems!!
1. Simplify the rational expression:
x^2-3x-10
_________
x^2-x-20
2. Divide:
2x^2+5x-12 / 2x^2-7x+6
_______________________
9x^2-16 / 3x^2-x-4
3. Simplify:
square root[144x^10y^12z^18]
4. Perform the indicated operations:
square root[50]+2 square root[32]- 2 square root[8]
5. Multiply:
(5 square root[2]+3)(square root[2]-2 square root[3])
6. Rationalize the denominator:
2
______________
square root[6]- square root[5]
I spelled out the square root because there is nothing on key board for symbol of the square root check. I will appreciate any help that I can get. Thanks!!!

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Question 33135This question is from textbook college algebra
: I can not for the life of me remember how to do this. I have tried numerous ways and still have not come to the correct answer.
2x to the 4-3x to the 3+x+1 is divided by 2x to the 2+x+1
This question is from textbook college algebra

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Question 33181: can you help me solve this?
5P-15P^2=0

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Question 33181: can you help me solve this?
5P-15P^2=0

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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, 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