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

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Algebra: Polynomials, rational expressions and equations

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Question 44140: Write each expression in simplest form

4r2 - 25s2 / 2r2 + 3rs - 20s2
Thank you!!!
Click here to see answer by benni1013(141)

Question 44139: Write each expression in simplest form

4r2 - 25s2 / 2r2 + 3rs - 20s2
Thank you!!!
Click here to see answer by fractalier(1804)

Question 44163: Find the distance between (9,0) and (-2,0)

Thank you
Click here to see answer by adamchapman(301)

Question 44162: Hello, I could use some help on this equation..
Factor -16x^3 -32x^2
There are choices, but I cannot seem to factor to any of them.
A: 8x^2(-2x -32)
B: 8x^2(-2x -4)
C: -16x^2(x -32)
D: 16x(x^2 -32x)
Click here to see answer by fractalier(1804)

Question 44115: The U.S. population in 1990 was approximately 250 million, and the average growth rate for the past 30 years gives a doubling time of 66 years.
using the formula P(in millions)=250*2^(y-1990)/66
What will the population of the United States be in 2025 if this growth rate continues?
I am so stumped on this problem!
Click here to see answer by fractalier(1804)

Question 44106: I don't understand this....
Find the numbers of each of the following polynomials for the given values of the variable.
-x2 – 5x – 6, x = -3 and x = -2
-x(2 is and exponent)sorry not trying to confuse you.
Click here to see answer by adamchapman(301)

Question 44169: 9x^3y^2-36x factor completely
Click here to see answer by adamchapman(301)

Question 44170: 6x-6y-5ax+5ay factor by grouping

Click here to see answer by adamchapman(301)

Question 44183: I need to solve this problem and show my work. Can anyone help?
Write each expression in the form of a + bi, where a and b are real numbers.
-3i(4i – 1)

Click here to see answer by stanbon(26259)

Question 44116: This one is not working for me could I see a step by step please.
x^4+x^3-8x^2+x-6 / x^2+1
Click here to see answer by stanbon(26259)

Question 43893: I would like help with the following: If f(x)=x(x+3)(x-1), use interval notation to give all values of x where f(x)is less than 0. Thank you.
Click here to see answer by stanbon(26259)

Question 44259: find the following products
a(a+5)(a-5)
Click here to see answer by adamchapman(301)

Question 44254: Multiply
8pq^2(2pq-3p+5q)
Thank you, These problems have me so confused.
Click here to see answer by adamchapman(301)

Question 44258: Find each of the following squares
(w-1/4)^2
Click here to see answer by adamchapman(301)

Question 44278: Hello, can someone help me factor this problem?
1.m^3-27
I need help trying to solve these problems
1.x^3-x^2-20x=0
2.5x^2+3x=2
3.x(x-x5)=36
Thanks
Click here to see answer by adamchapman(301)

Question 44255: Multiply
(x-10)(x+9)
Click here to see answer by jake_6233(74)

Question 44257: Multiply
(x/3 + 3/4(3x/4 - 3/5)
Click here to see answer by fractalier(1804)

Question 44295: which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x?
Click here to see answer by fractalier(1804)

Question 44316: Hi, I have the solutions to a problem but I don't know if they are correct. The problem is x^3-x=0. The solutions I got are x=-3/2 and-1/2. If they are not correct, can you show me how to do them? Thanks.
Click here to see answer by fractalier(1804)

Question 44314: I need help in finding the solutions to x^2+2(pie)=0.
Click here to see answer by fractalier(1804)

Question 44313: I need your help in finding the solutions to x^2-sqrt(5)x+ 5/4=0.
What I have so far inside the square root is -5-(4)(1)(5/4).
Click here to see answer by fractalier(1804)

Question 44329: Factor each polynomial - show work and solution:

9a² - 64b²
Click here to see answer by fractalier(1804)

Question 44332: Factor each Trinomial using the “ac” method. Showing work and solution.

15x² - 7x – 2
Click here to see answer by fractalier(1804)

Question 44322: Add or subtract as indicated. Express your result in simplest form.
3/x2 + 4x + 3 - 1/x2 - 9

Thank You!!!
Click here to see answer by Nate(3495)

Question 44315: I need help in finding the solutions to 125x^3-pie^66=0. All I know is that you use the quadratic formula.
Click here to see answer by Nate(3495)

Question 43902: By using the Factor Theorem, Find the Prime factors of the polynomial:
x^3 - x^2 - 17x - 15
Click here to see answer by fractalier(1804)

Question 43902: By using the Factor Theorem, Find the Prime factors of the polynomial:
x^3 - x^2 - 17x - 15
Click here to see answer by Nate(3495)

Question 44413This question is from textbook Algebra Structure and Method Book1
: 14) 6% of 145 is what number?
16) 6 1/4% of 500 is what number?
22) 15 is 25% of what number?
32) What percent of 30 is 250?This question is from textbook Algebra Structure and Method Book1

Click here to see answer by checkley71(8405)

Question 44417: Can someone please help me factor x(2x-y) + y(2x-y) Thanks!
Click here to see answer by fractalier(1804)

Question 44385: Add or subtract as indicated. Express your result in simplest form.
4y/y^2 + 6y + 5 + 2y/y^2 - 1

Thank You!!!!
Click here to see answer by tutorcecilia(2042)

Question 44441: perform the indicated divisions
x^2-2x-35/x+5
Click here to see answer by stanbon(26259)

Question 44439: multiply using the vertical method
(2r-3s)(4r^2+6rs+9s^2)
Thank you very much in advance
Click here to see answer by tutorcecilia(2042)

Question 44438: let x represent the number
the square of 5 more than a number
Click here to see answer by tutorcecilia(2042)

Question 44482: r^2-5r+6
------------ =?
r^2-4
this problem needs to be reduced completely.
Click here to see answer by stanbon(26259)

Question 44457: Divide
8x^3-6x^2+2x/4x+1
Click here to see answer by atif.muhammad(135)

Question 44507: Solve the problem

The polynomial function gives the rate of gas leakage from a tank as pressure increases p units from its initial setting. Will an increase of 4 units result in a lower rate of leakage compared to the initial setting?

Click here to see answer by adamchapman(301)

Question 44496: I can't figure out this problem. Not sure of the procedure.
Multiply:
7w(2w-3)(2w+3)

Click here to see answer by checkley71(8405)

Question 44497: Here is another one I can not figure out. I am confused on what procedure. Can someone help me.
Multiply the following:
(x/3 + 3/4)(3x/4 - 3/5)
Click here to see answer by jake_6233(74)

Question 44535This question is from textbook

: Find all roots of the polynomial x^3-x^2+16x-16.
Thanks Very Much.This question is from textbook

Click here to see answer by venugopalramana(3286)

Question 44534This question is from textbook

: Find the quotient and remainder of f(x)=x^3-4x^2+5x+5 divided by p(x)=x-1.
Thank you.This question is from textbook

Click here to see answer by venugopalramana(3286)

Question 44533This question is from textbook

: If f(x)=x(x+3)(x-1), use interval notation to give all values of x where f(x)>0.
Thanks for your time.This question is from textbook

Click here to see answer by venugopalramana(3286)

Question 44533This question is from textbook

: If f(x)=x(x+3)(x-1), use interval notation to give all values of x where f(x)>0.
Thanks for your time.This question is from textbook

Click here to see answer by Nate(3495)

Question 44549: I need some help with a negative coefficient.
I need to multiply the following equations.
4x-36/x^2+x multiplied by 3x/9-x
This is what I have come up with so far: factoring out the equations I get 4(x-9)/x(x+1)multiplied by 3x/9-x. I can cancel out one x and I can also cancel out the 9-x and the x-9 which will give me a -1. This leaves me with the following equation
12/-1(x+1) which equals 12/-x-1. My question is this: what do I do with the negative coefficient? do I multipy by a -1? and would this give me -12/x+1 or 12/x+1.
thank you for the assistance!

Click here to see answer by mollydew(1)

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