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

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

Question 95841: Perform the indicated operation. Simplify if possible
5x/x^2-7x+10 - 10/x^2-7x+10
Click here to see answer by bucky(2189)

Question 95948: I need some help with this problem please.
Find a value for k so that 9m^2 - kn^2 will have the factors 3m + 7n and 3m - 7n.
I am not sure how to solve this can you help? Thank you.
Click here to see answer by edjones(7569)

Question 95991: Solve each equation.
m(3) + 2m(2) - 3m = 0
Click here to see answer by tutorcecilia(2152)

Question 95990: Solve each equation.
2w(4w + 1) = 1
Click here to see answer by tutorcecilia(2152)

Question 95996: 58. 3/(x^2+4x+3)-1/(x^2-9)...(I do not have answers, I am confused.)
62. 4y/(y^2+6y+5)+2y/(y^2-1)...(I do not have answers, I am confused.)
36. (5a-12)/(a^2-8a+15)-(3a-2)/(a^2-8a+15)...(I have 2/(a-3)as the answer,is it correct?)
24. x^2/(x-3)-9/(x-3)...(I have x+3 for the answer is it correct?)
Can I get some help please, pretty pretty please?
Click here to see answer by ankor@dixie-net.com(15623)

Question 95988: Factor each polynomial completely given that the binomial following it is a factor of the polynomial.
x(3) + 2X(2) - 5x - 6, x + 3
Click here to see answer by tutorcecilia(2152)

Question 96039: Find the prime factorization for this integer 200.
Click here to see answer by tutorcecilia(2152)

Question 95986: Factor each trinomial using trial and error.
3x(2) - 17x + 10
Click here to see answer by tutorcecilia(2152)

Question 96036: 15t2 -17t -4 find two intergers that have a product of ac and a sum of b
Click here to see answer by checkley71(8403)

Question 96168: The price of a coat is represented by (2x+5) dollars. Represent the amount a man paid for (5x-3) of these coats.

Click here to see answer by checkley71(8403)

Question 96173: write each expression in simplest form.
4r^2-25s^2 / 2r^2+3rs-20s^2
Click here to see answer by checkley71(8403)

Question 96175: 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.
Click here to see answer by stanbon(57214)

Question 96179: Find the perimeter.
rectangle shape
x/2x-5 & 8/2x-5
Click here to see answer by checkley71(8403)

Question 96159: Solve and check for x
(x/x-2)-(x+1/x)=(8/x^2-2x)
Click here to see answer by ankor@dixie-net.com(15623)

Question 96440: Formulas: (a+b)^2= a^2+2ab+b^2
(a+b)^3= a^3+3a^2b+3ab^2+b^3
(a+b)^4= a^4+4a^3b+6a^2b^2+4ab^3+b^4
(a+b)^5= a^5+5a^4b^1+a^3b^2+10a^2b^3+5a^1b^4+b^5
How would I solve?
1. (4+x)^3
2. (3x+4)^3
3. (2+2)^5
4. (3x+5)^4

Click here to see answer by checkley71(8403)

Question 96493: Rational Expression :
4/a^2 - 1 + 1/2a + 2
Click here to see answer by jim_thompson5910(28476)

Question 96399: how do i solve for x in this problem:
3=1/4 square root of 3x + 30?
Click here to see answer by edjones(7569)

Question 96491: Rational Expression:

3/10 = 5/x
Click here to see answer by prabhjyot(164)

Question 96541: I am having difficulty with this problem. Here is what I did but the answer is not correct and I do not know what I am doing wrong.
Simplify

2/x - 1 + 1 / 1 - 3/x - 1
LCD = x - 1
2/x - 1(x - 1)+ 1(x - 1) = 2 + 1(x - 1)
1(x - 1) - 3(x - 1)(x - 1)= 1(x - 1) - 3
2 + 1(x - 1) / 1(x - 1) - 3
2 + x - 1 / x - 1 - 3
= -2/3
Click here to see answer by stanbon(57214)

Question 96611: Multiply the following fractions.
2x²-x-3 * 3x²+11x-20
_______ ___________
3x²+7x+4 4x²-9

Click here to see answer by edjones(7569)

Question 96727: Write in simplest form.
x^2-8x+16/x-4
Click here to see answer by checkley71(8403)

Question 96728: Divide.
72^3-16x^2/-8x
Click here to see answer by checkley71(8403)

Question 96733: Rational Expression:
x^2 - 4/4 divided by 4x - 8/x
Click here to see answer by checkley71(8403)

Question 96724: Solve using quadratic formula.
5x^2-x+3=0
Click here to see answer by jim_thompson5910(28476)

Question 96724: Solve using quadratic formula.
5x^2-x+3=0
Click here to see answer by checkley71(8403)

Question 96723: Hello Tutor,
I was wondering if I could get a bit of help. I am suppose to factor this equation completely could you please tell me if I have done this right or wrong.
6x^2 + 7x + 2
I got (3x + 1) (2x + 2)
Thank you for your help.
Click here to see answer by jim_thompson5910(28476)

Question 96732: Rational Expression:
-2/x = 3/x+2
Click here to see answer by checkley71(8403)

Question 96725: Subtract. Write in simplest form.
5/y-5 - 1/y+1
Click here to see answer by checkley71(8403)

Question 96745: how do I factor the polynomial 3x^2+7x+2
Click here to see answer by jim_thompson5910(28476)

Question 96642: Perform the indicated operations.
14x- 7 * x²+6x+8 ÷ x²+24
_______ ________ ______
x²+3-4 2x²+5x-3 x² + 2x-3

Click here to see answer by ankor@dixie-net.com(15623)

Question 96769: How do I express this as a simplified rational number 10/3-5/2
Click here to see answer by stanbon(57214)

Question 96769: How do I express this as a simplified rational number 10/3-5/2
Click here to see answer by tutorcecilia(2152)

Question 96762: In 1975 the popultation of the earth was approximately 4 billion and dobuling every 35 years. The formula for the population P in Year Y for this doubling rate is P(in billions) = 4x 2(y-1975)/35. What will the population be in 2025 if tis growth rate continues?
Click here to see answer by stanbon(57214)

Question 96706: Add or subtract as indicated. Express the result in simplest form.
___4y____ + __2y____
y²+6y+5 y²-1

Click here to see answer by stanbon(57214)

Question 96623: Divide the following fractions.

6p-18 ÷ 3p-9
______ _____
9p p²+2p

Click here to see answer by ankor@dixie-net.com(15623)

Question 96883: I'm trying to subtract rational expressions. The question is:
{(2b)/(a^2-b^2)}-{(1)/(a+b)}+{(1)/(a-b)}
The answer I got was:
4b/(a+b)(a-b)
Is this correct?
Thank you so very much for your help!!
Click here to see answer by stanbon(57214)

Question 96882: {(x+1)(2x-1)/(2x-3)(x-3)}-{(x-3)(x+1)/(3-x)(3-2x)}+ {(2x+1)(x+3)/(3-2x)(x-3)

The answer I got was... 3x^2+10x+5/2x^2-9x+9
is this correct?
THANK YOU so much for your help!!

Click here to see answer by jim_thompson5910(28476)

Question 97042: please help me i have 3 more problems like this one and i cant seem to figure out how to solve it. Please help me so that I am able to finish the rest of my homework.
-
Click here to see answer by stanbon(57214)

Question 97033: Square root of (2x+3) - square root of (x+1) = 1
Click here to see answer by mathslover(135)

Question 97055: Please help me i am confused as to how to solve this problem.

Coul someone show me so that i may finish my homework?
Click here to see answer by mathslover(135)

Question 97030: could someone please help me slove this equation.. +=
I am not sure what to do to solve this.
Click here to see answer by mathslover(135)

Question 97060: I am completely lost please help me. I have a few more like this one and need a little help so that I may solve the other problems.

Click here to see answer by mathslover(135)

Question 97054: Please help me solve this equation I am not sure how t do it.
=
Click here to see answer by Nate(3500)

Question 97136: If you can drive 40 miles on side roads in the same amount of time as it takes to drive 30 miles on the highway. If the rate of speed is 7mph faster on the back roads then the highway, what is the rate of speed on the side roads?
Click here to see answer by Nate(3500)

Question 97139: 3/x-1=6/x+2
Click here to see answer by jim_thompson5910(28476)

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