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

Question

3 years ago

11

of the following statements in true about Tina's work?

1 answer:

Setler79 [48] · Answer 1 · 2022-04-28T04:15:34+03:00

ANSWER

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

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.