Question

Which of the following value pairs can be used as m and n to factor the expression?

Answer 1

Correct choice is C. 3, -15.

Explanation:

Question says to factor
`9x^2-12x-5`

Now we need to find about which of the given value pairs can be used as m and n to factor the expression.

Compare
`9x^2-12x-5` with standard quadratic form
`ax^2+bx+c`, we get:

a=9, b=-12, c=-5

Then ac=9(-5)=-45

Now we need to find two numbers m and n such that

m*n=ac=-45

and m+n=b=-12

only choice that satisfies above equations is (3,-15).

Hence correct choice is C. 3, -15.