Question

Tina is attempting to factor the expression 10x^2-13-3. In her first step, she rewrites the expression as 10x^2-10x-3x-3. Which of the following statements in true about Tina's work?

Answer 1

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

Step-by-step explanation

The given quadratic trinomial that Tina tries to factor is

`10 {x}^(2) - 13x - 3`

Comparing to

`a{x}^(2) + bx + c`

we have a=10, b=-13 and c=-3

ac=-3×10=-30

We split the middle term so that their sum is -13.

Tina use

-10,-3

to get

-10x-3x

The sum is -13x alright but the product is not -30.

B is correct.