Question

I need some help with a few problems. They are multiple choice but need a breakdown on how I can work the problems. Thanks for your help!

1. Factor the trinomial completely. 10x^2 + 11x-6
a. (2x+3)(5x-2)
b. (2x-3)(5x+2)
c. (10x+3)(x-2)
d. (2x+1)(5x-6)

2. Compute as indicated. Write answers in lowest terms. 9/2s+9/4s^2
a. 9s+9/4s^2
b. 27/2s
c. 18s+9/4s^2
d. 27/4s^2

3. Simplify the expression, assuming that the variable can represent any real number -(8a^3/27)^4/3
a. - 16a^4/81
b. - 81/16a^4
c. 16a^4/81
d. 81/16a^4

4. Use the properties of exponents to simplify the expression. Write the answer using positive exponents only.. (a*b^-4/c^-7)^3

a. ab^12/c^21
b. b^12/a^3c^21
c. b^12c^7/a^3
d. ab^12c^7

5. Reduce to lowest terms x-3/3-x

a. 1
b. -1
c. x/3+3/x
d. x/3-3/x

Answer 1

1.10x^2+15x-4x-6 b should be split in such
a way that the product is equal to ac and the sum should be equal to b.

5x(2x+3)-2(2x+3)
(2x+3)(5x-2)
a

2.Find the LCM
(18s+9)/4s^2
c

3.[(2a/3)^3]^4/3
both 3 s get cancelled and we have 16a^4/81
c

4. Problem is not clear regarding powers and signs.

5.Take out minus sign from Numeratorand we will have -1 while everything gets cancelled

Answer 2

5, Doesn't x-3=-(3-x) ?

4. look at the a term a^3 has to appear in the answer. No answer is correct. Now if the problem is ((ab)^-4)c^-7)^3, then you have to have a^-12 or 1/a^12. Again, no answer is correct.
3. what is -cubrt(8a^3/27) ? now raise that to the 4th power (square it twice).
2. lowest term is 9s/2 (1+s2)
1. Let x=1. compute the trinomial. Now mentally check each answer with x=1. Which is the same?