Question

Raul is attempting to factor the expression In his first step, he rewrites the expression as Which of the following statements in true about Raul’s work?

Answer 1

C. The two middle coefficients multiply to the correct number, but do not add to the correct number.

Explanation:

Question says to factor
`3x^2-14x-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
`3x^2-14x-5` with standard quadratic form
`ax^2+bx+c`, we get:

a=3, b=-14, c=-5

Then ac=3(-5)=-15

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

m*n=ac=-15

and m+n=b=-14

only choice that satisfies above equations is m=-15 and n=+1

But Rahul is using +15x and -1x which will give error addition.

Hence correct choice is C. The two middle coefficients multiply to the correct number, but do not add to the correct number.