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

Tutors Answer Your Questions about Polynomials-and-rational-expressions (FREE)

Question 182225: I need help factoring the difference of these cubes.
54x^3-16y^3
Click here to see answer by stanbon(57967)

Question 182245:
x2 + 9x = -20
Click here to see answer by mastermath(14)

Question 182254: Factor:
x^2 - 275 - 11x + 25x
Help!
Click here to see answer by solver91311(17077)

Question 182260: 5p2 - 25 = 4p2 + 24
Click here to see answer by checkley77(12569)

Question 182261: What is the product of (x^2+4x-1)(2x^2-x-3)?
Click here to see answer by checkley77(12569)

Question 182246: Pam has brown eyes and Bob has blue eyes. Brown genes B are dominant over blue eyes b. A person with genes BB or Bb has brown eyes. Someone with genes bb has blue eyes. Suppose Pam's genes for eye color are Bb.
a. Write an expression for the possible eye coloring of Pam and Bob's children.
b. What is the probability that a child of Pam and bob would have blue eyes?
Please help! I tried it, but I don't know if I am right. For A, I have no idea how to do that. For B, I have 3/4 b, but i'm not sure if i'm right.
Click here to see answer by stanbon(57967)

Question 182211: Factor polynomial completely 2a^-4a-2
Click here to see answer by Alan3354(31528)

Question 182299: Factor:
125q^2-n^3q^2
Click here to see answer by vleith(2825)

Question 182298: Determine the number of factors of ^256-1 and list them. Support your answer
by showing logical algebraic steps and explain how you arrived at your answer.
Hint: Note that 256=2^8 . This problem requires understanding both, the prime factorization (section 5.1) and also factoring difference of two squares from the "special products" rules (section 5.2). After studying factoring, answering this DQ involves synthesis and some deep thinking in your part. Try to do your best.

Click here to see answer by stanbon(57967)

Question 182309: Add the two rational expressions.
(1/7x^3)+(1/9x^2)
Help please!
Click here to see answer by stanbon(57967)

Question 182420: please multiply and simplify this polynomial.

(2a-5) to the second power.

Thanks.
Click here to see answer by stanbon(57967)

Question 182419: This is from a book. A gardener plants corn in a garden with a length to width ratio of 5:4. Next year, he plans to increase the garden's area by increasing its length by 12 feet. Write an expression for this new area.
L = 5x
W = 4x
This is what I tried.
(4x)(5x) + (4x)(12x)
20x^2 + 48x

Click here to see answer by solver91311(17077)

Question 182433: Hello. I have the following polynomial to simplify using long division.

I know the answer is:

but am not sure how. Can someone please help.
Thank you.
Click here to see answer by stanbon(57967)

Question 182428: 1991 sales what were they. 3.3% increase in sales in 1992 over 1991 The 1992 sales were 62.2 billion So what were the 1991 sales
Click here to see answer by Mathtut(3670)

Question 182424: please help with polynomial

(3x+4) ^2 thank you
Click here to see answer by Mathtut(3670)

Question 182424: please help with polynomial

(3x+4) ^2 thank you
Click here to see answer by jim_thompson5910(28715)

Question 182452: I have a question on this problem
3(x-8)(2x^2+5x-4) after the 2x is suppose to be a exponent of 2
When doing this problem do I distribute the 3 through both sets of () and get the answer of 6x^3-33x^2-132x+96
or just the first set and then distribute the (x-8) through the 2nd set of()
Please help with this
Thanks in advance to anyone who can help me with this!
Click here to see answer by Alan3354(31528)

Question 182474: (2x-7)(2x^2-3x+2)

please help with polynomial. thanks
Click here to see answer by Alan3354(31528)

Question 182458: 1.
Solve
(3a-5)/(a²+4a+3)+(2a+2)/(a+3)=(a-3)/(a+1)

2.
Rachel allows herself 1 hour to reach a sale appointment 50 mile s away. After she has driven 30 miles, she realizes that she must increase her speed by 15 miles per hour in order to get there on time. What was her speed for the first 30 miles?

3.
Can any even understand this?
In a stream, the amount S of salt carried varies directly as the sixth power of the speed V of the steam.

Click here to see answer by Alan3354(31528)

Question 182478: Factor completely: 4x^2y - 8xy I am having trouble with the factoring of this and of 2x^2 -22x + 60 How do I get the - 22 factored in? Thanks for your help!
Mary
Click here to see answer by jim_thompson5910(28715)

Question 182449: I wanted to find out how to do the following equation:
(-5x^4+x^2)-(x^3+8x^2-x)
Thanks!
Click here to see answer by solver91311(17077)

Question 182449: I wanted to find out how to do the following equation:
(-5x^4+x^2)-(x^3+8x^2-x)
Thanks!
Click here to see answer by zibmic(1)

Question 182490: I need to FACTOR EACH POLYNOMINAL....Please check these 2 answers....Thanks
1. 35m3n + 105m2n3 (I wrote 35m2n(m + 3n2)
2. 30x3y + 35x2y2 (I wrote 5x2y(6x + 7y)
Please correct if I'm wrong....thanks for your help. Jus
Click here to see answer by solver91311(17077)

Question 182342: Ratio and Proportion
Susie is making a cake for 5 people. She needs 1.5 cups flour and 2 cups sugar.
She finds 4.5 cups of flour and 8.5 cups sugar, if he uses the recipe to make the
largest cake possible, how many will it serve?
Click here to see answer by edjones(7569)

Question 182397: Factor each polynomial. a^2-2a-35

Factor completely. -3t^3+ 3t^2-6t

Factor polynomial completely. 10a^2+ab-2b^2

Factor completely. 4m^2+20m+25
Click here to see answer by J2R2R(94)

Question 182513: 1.
Solve
(3a-5)(a²+4a+3) + (2a+2)(a+3) = (a-3)(a+1)
2.
Rachel allows herself 1 hour to reach a sale appointment 50 mile s away. After she has driven 30 miles, she realizes that she must increase her speed by 15 miles per hour in order to get there on time. What was her speed for the first 30 miles?
Click here to see answer by josmiceli(9817)

Question 182505:
12x^2 * 10x
____ ___
5x^2 4x^2
Multiply or divide to the lowest terms. Thank you
Click here to see answer by eperette(173)

Question 182566: Simplify: x^2 + 2xy + y^2 - 1
Click here to see answer by solver91311(17077)

Question 182574: simplify the rational expression:
(x-4)^2/x^2-16
Thank you for the help!!
Click here to see answer by stanbon(57967)

Question 182573: simplify the rational expression:
x^3-2x^2+x-2/x-2
Thank you so much for the help!!
Click here to see answer by stanbon(57967)

Question 182573: simplify the rational expression:
x^3-2x^2+x-2/x-2
Thank you so much for the help!!
Click here to see answer by solver91311(17077)

Question 182572: Express the statement as a formula. Use the given information to find the constant of proportionality.
M is jointly proportional to a, b, and c, and inversely proportional to d. If a and d have the same value, and if b and c are both 2, then M = 144.
k =___________
Click here to see answer by stanbon(57967)

Question 182571: The rate r at which a disease spreads in a population of size P is jointly proportional to the number x of infected people and the number P - x who are not infected. An infection erupts in a small town with population P = 3000.

(a) Write an equation that expresses r as a function of x. Use k for the constant of proportionality.
r =
(b) Compare the rate of spread of this infection when 40 people are infected to the rate of spread when 1000 people are infected. Which rate is larger? By what factor? (Give your answer correct to one decimal place.)
The rate when 1000 people are infected or the rate when 40 people are infected? by what factor?
(c) Calculate the rate of spread when the entire population is infected.

Why does this answer make intuitive sense?
i cant figure this out! help!
Click here to see answer by stanbon(57967)

Question 182502: Add or Subtract Rational Expressions
Simplify
5 - x-1
____ ____
x x
Please help with this, I'm supposed to simplify. Thank You!
Click here to see answer by checkley77(12569)

Question 182601: Due to the curvature of the earth, the maximum distance D that you can see from the top of a tall building or from an airplane at height h is given by the function below where r = 3960 mi is the radius of the earth and D and h are measured in miles.
D(h)= square root (2rh+h^2)

(a) Find D(0.4) and D(0.6).
D(0.4) = i figured out this one...56.3
D(0.6) = i figured out this one...68.9
(b) How far can you see from the observation deck of Toronto's CN Tower, 1135 ft above the ground?...i cant figure this out cuz u have to change it to miles instead of feet
_______miles

(c) Suppose that a commercial aircraft is flying at an altitude of 4.4 mi. How far can the pilot see?
_______miles...i figured this one out too...186.7
I just need help on the 3rd problem thanks!!

Click here to see answer by stanbon(57967)

Question 182624: The Schwarzschild radius describes the critical value to which the radius of a massive body must be reduced for it to become a black hole.
R = 2 G M / c^2
where
G = gravitational constant 6.7x10^-11
M= mass of the object
C = speed of light 3x10^8
The sun has M = 2x10^30 . What is the Schwarzschild radius for the sun? [Note its true radius is 700,000.]

Click here to see answer by solver91311(17077)

Question 182639: i really need help on doing problems like this one (y+9)(5x-6) so if could help me i would really like it so much
Click here to see answer by jim_thompson5910(28715)

Question 182506: x^2+12x+32 * 3
__________ ___
x+4 x+8
Simplify to the lowest terms, please help. Thank you
Click here to see answer by jim_thompson5910(28715)

Question 182569: Express the rule in function notation. (For example, the rule "square, then subtract 5" is expressed as the function f(x) = x2 - 5.)
Take the square root, add 7, then multiply by 1/9
f(x)=__________
Click here to see answer by MathGuyJoe(20)

Question 182693: please help me solve these problems
1. (2-3)-(2x-9)

2. (a-3)(a+4)(a-5)
Click here to see answer by Alan3354(31528)

Question 182702: Find -x+10 less than 0
Click here to see answer by Mathtut(3670)

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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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