Tuesday
September 30, 2014

Homework Help: Algebra II

Posted by Jesse on Monday, August 13, 2007 at 10:33pm.

I have some questions on my assignment, if you dont mind could you look over my answers. thanxs!

Find all the numbers that must be excluded from the domain of the rational expression.

x+8/x^2-16, my answer: x cant be -4 or 4

x-3/x^2+11x+24, my answer: x cant be -3 or -8

Simplify the rational expression. Find all the numbers that must be excluded from the domain of the simplified rational expression.

3x+3/15^2+21x+6 I dont understand this one.

Multiply or divide as indicated.

x^2+13x+42/x^2+x-42 * x^2-49/x^2-x-42 I dont understand this one.

(x+7)^2/x-7 / x^2-49/7x-49 This I am not too sure how to do, I know you have to flip the 2nd fraction.

Add or subtract as indicated.

x^2-2x/x^2+6x + x^2+x/x^2+6x I got x-1/x+6

Express the perimeter of the trapezoid as a single rational expression.

These are the rational expressions that are being used: x+6/x+3, 5/x+3, x+1/x+3, 5/x+3. I know you have to add each of the expressions, when I get to the end of working it out, I get x^2+x+6x+6/x+3, but thats not one of my choices. My choices are: a. 2x+17/x+3, b.4x+17/x+3, c.x+17/x+3, and d. x+14.

Simplify the complex rational expression.

4+2/x / x/4+1/8 This one I dont understand how to do it,


for
"3x+3/15^2+21x+6 I dont understand this one."

First factor it this way:
3(x+1)/[3(x+1)(5x+2)
=1/(5x+2) x cannot be -1 or -2/5

for
"Multiply or divide as indicated.

x^2+13x+42/x^2+x-42 * x^2-49/x^2-x-42 I dont understand this one. "

I wish you had used brackets, I will assume it was like this:
Multiply or divide as indicated.

(x^2+13x+42)/(x^2+x-42) * (x^2-49)/(x^2-x-42)

Everything here factors:
(x+6)(x+7)/[(x+7)(x-6)] * (x+7)(x-7)/[(x-7)(x+6)]
=(x+7)/(x-6)
you calculate the necessary restrictions

for
"(x+7)^2/x-7 / x^2-49/7x-49 This I am not too sure how to do, I know you have to flip the 2nd fraction."

I am guessing it was like this:
(x+7)^2/(x-7) (x^2-49)/(7x-49)

= (x+7)^2/(x-7) (x+7)(x-7)/[7(x-7)]
= (x+7)^2/(x-7) * 7(x-7)/[(x+7)(x-7)]
= 7 because everything cancelled

for the trapezoid question, notice that the denominators are all the same, so just add the numerators to get 2x+17 which is part of your first choice.

I am not going to guess what the last question looks like without using brackets
Retype it using brackets


Add or subtract as indicated

(x^2-2x)/(x^2+6x) + (x^2+x)/(x^2+6x) I got (x-1/x+6)



Simplify the complex rational expression.

(4+2/x) / (x/4+1/8)

Choices are: a.16, b.x/16, c.1, and d.16/x


"(x^2-2x)/(x^2+6x) + (x^2+x)/(x^2+6x) I got (x-1/x+6) "

I got (2x-1)/(x+6), check your numerators

"(4+2/x) / (x/4+1/8) "

common denominator for the top is x,
for the bottom its 8
(4x+2)/x (2x+1)/8
= (4x+2)/x * 8/(2x+1)
= 16/x

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