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

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Question 46780: What values for x must be excluded in the following fraction?
-7/(x-6)
Click here to see answer by adamchapman(301)

Question 46784: The height h in feet of an object after t seconds is given by the function h = –16t2 + 90t + 7. How long will it take the object to hit the ground? Round your answer to the nearest thousandth.
Click here to see answer by Nate(3495)

Question 46711This question is from textbook Beginning Algebra

: I'm lost. Thanks in advance for any help given!
The volume of the box is represented by (x^2+5x+6)(x+5). Find the polynomial that represents the area of the bottom of the box.This question is from textbook Beginning Algebra

Click here to see answer by adamchapman(301)

Question 46712This question is from textbook Beginning Algebra

:
Fungicides account for 1/10 of the pesticides used in the United States. Insecticides are 1/4 of all pesticides used. The ratio of fungicides to insecticides used in the U.S. can be written 1/10 divided by 1/4. Write this ratio in simplest form.
Is this correct?
1/10 by 1/4 = 1/10 * 4/1 = 4/10 or 2/5
Surely it's not that simple!This question is from textbook Beginning Algebra

Click here to see answer by consc198(59)

Question 46781: x^2 + 2x - 15/4x^2 divided by x^2 - 25/2x - 10
Click here to see answer by gsmani_iyer(161)

Question 46894: This is a homework problem due tomorrow. 4 people have done it and we have 4 seperate answers. Help!
Solve the equation.
t^2 + 1 + (13/6)t
Click here to see answer by checkley71(8405)

Question 46989This question is from textbook
: Solve the equation by factoring: c^3-3c^2-9c+27=0
I have no clue what to do on this one. This question is from textbook

Click here to see answer by mathchemprofessor(65)

Question 46986This question is from textbook Elementary and Intermediate Algebra: A Combined Course
: Solve the equation by factoring: 4x^2+15x=25
What I did: 4x^2+15x-25=0
(x+20)(x-5)=0
x+20=0 x-5=0
x+-20 x=5This question is from textbook Elementary and Intermediate Algebra: A Combined Course

Click here to see answer by Cintchr(475)

Question 46973: I am confused....
Simplify. 3/4
_______
4/5

My choices: A) 3/5 B) 5/3 C) 15/16 D)16/15
I do not get any of these for my answer.
Click here to see answer by mathchemprofessor(65)

Question 47040: Given that (3x-a)(x-2)(x-7)=3x^3-32x^2+81x-70, determine the value of a.
Click here to see answer by uuuu(3)

Question 47060: Word Problem: Can someone please tell me if I have the right answer?
During rush hour, Fernando can drive 20 miles using the side roads in the same time that it takes to travel 15 miles on the freeway. If Fernando's rate on the side roads is 9 mi/h faster than his rate on the freeway, find his rate on the side roads.
Choices are:
A) 38 B) 36 C) 27 D) 29
The answer I get is C....

Click here to see answer by checkley71(8405)

Question 47061: How do I know if my answer is correct?
Subtract. Express your answer in simplest form. ( I had to use the backslash because the system would not write it correctly, the question shows a straight line between the 13x and 30 and the 4x and 15).
13x/30 - 4x/15
Click here to see answer by checkley71(8405)

Question 47074: How much more can this be simplified? The problem shows like this...What am I suppose to do?
x-3/15=1/3
Click here to see answer by Nate(3495)

Question 47085: I can not figure this problem out...please help me. I am not getting any one of these answers....What am I doing wrong.
Subtract. Write your answer in simplest form.
y-2/y+3 - y/2y+6
Choices are: A) y^2+y-12/(y+3)(2y+6) B) y-2/y+3 C) y-4/2(y+3) D) 3y-4/2(y+3)
Click here to see answer by mathchemprofessor(65)

Question 47089: Please help me solve this problem (((X^2n+2x^n y^n+y^2n))) (((X^2n-2x^n y^n+y^2n))).I really appreciate any kind of help in solving.
Click here to see answer by josmiceli(3003)

Question 47088: Please help me solve this (((r^2-s^2)))(((r-s))).thank you for considering my request,hoping for an answer.
Click here to see answer by wuwei96815(245)

Question 47079: Can someone help me with this problem?
What values for x must be excluded in the following fraction?
x-3/(4x-5)(x+1)
Click here to see answer by mathchemprofessor(65)

Question 47079: Can someone help me with this problem?
What values for x must be excluded in the following fraction?
x-3/(4x-5)(x+1)
Click here to see answer by wuwei96815(245)

Question 47140: can you solve these please ive tried soo hard too. and and
Click here to see answer by checkley71(8405)

Question 47218: factor: x^2-13x+12=
Click here to see answer by tutorcecilia(2042)

Question 47288: Add and simplify:

1/(x-1) + (2x+1)/x
Click here to see answer by image_lif(4)

Question 47391: describe a binomial that is the difference of two squares
Click here to see answer by tutorcecilia(2042)

Question 46969: Here we go again, I am lost with this. Can someone help me?
Simplify:
x+2
______
x
______________
x-2
_______
3x
Choices are: A) -3 B)x^2-4/3x^2 C)3(x+2)/x-2 D) -4/3

Click here to see answer by mszlmb(115)

Question 47462: Deart Sir:
I'm having a hard time with this problem, which is not from a textbook:
factor this equation--
18mn^2 - 81mn^2x + 243mn^3x^2
After many tries I came up with this, but I'm at an impasse:
9mn^2(2 - 9x + 27mnx^2)
Could you give me some direction, please?
L. Miller
Midlothian Texas
Click here to see answer by checkley71(8405)

Question 47487: "What is the Factoring by grouping of the polynomial xy-3x-8y+2

Click here to see answer by mangier(1)

Question 47536: can someone help please - I need this one done today.
Factor
2x(x-2y) + 2(x-2y)
Thank you in advance

Click here to see answer by Earlsdon(4898)

Question 47539: how can I simplify this expression

[X^2 + 12x + 32]/(x+4)
Click here to see answer by stanbon(26259)

Question 47541: find all rational zeros and factor f(x). (((f(x)=10x^3+63x^2+17x-6)))
Click here to see answer by stanbon(26259)

Question 47534: how do you find the constant of variation of u=8wz
Click here to see answer by stanbon(26259)

Question 47543: solve:
v=at+s for t
Click here to see answer by stanbon(26259)

Question 47540: Give the x-intercepts for (((f(x)=-x^2+15x-56))) I came up with x-intercepts (7,0) and (8,0); y-intercept (0,-56)
Click here to see answer by stanbon(26259)

Question 47542: solve:
4x + 3y =9 for y

Click here to see answer by stanbon(26259)

Question 47569: I keep getting stuck on a problem. Could someone help me.
The question is multiply 10x(-4x-7)
Do I multiply 10x x -4x and then multiply 10x x -7
to get -40x2-70x. I am getting confused.
Cheryl Sanders
Click here to see answer by stanbon(26259)

Question 47575: 12x^3-3xy^2 factor completely
Click here to see answer by checkley71(8405)

Question 47589: I have to perform the computations and write the answer in scientific notation. I am totally baffled.
1x10^-8
-------
4x10^7
I am getting 25.0000000000000000
.25x10^-16
Please help! and Thank you in advance!
Click here to see answer by stanbon(26259)

Question 47581: factor completely y^3-12y^2+36y
Click here to see answer by Nate(3495)

Question 47595: This due tomorrow. help!
Solve each equation for “y”.
(y-1)/(x+3) = -1/3

Thanks
Click here to see answer by Nate(3495)

Question 47666: factor completely
2x^2-x-10
Click here to see answer by stanbon(26259)

Question 47665: factoring this equation:
-3t^3+3t^2-6t
Click here to see answer by venugopalramana(3286)

Question 47664: factoring this equation:
v^2-22v-75
Click here to see answer by venugopalramana(3286)

Question 47663: factoring this equation:
v^2-22v-75
Click here to see answer by venugopalramana(3286)

Question 47663: factoring this equation:
v^2-22v-75
Click here to see answer by Nate(3495)

Question 47631: Hi i was wandering if you could please answer the following question on factorising cubic polynomails using long division:
4x^3+35x^2+84x+45
The answer in the back of the book for that question was (4x+3)(x+3)(x+5)

I can factor cubic polynomials using long divsion when they don't have a number in front of x^3, e.g x^3+35x^2=84x+45. But i can't do the cubic polynomials with a number infront of x^3.
I would be grateful if you could please help
Thankyou

Click here to see answer by stanbon(26259)

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