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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?

Tina is attempting to factor the expression 10x2133 In her first step she rewrites the expression as 10x210x3x3 Which of the following statements in true about class=

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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

[tex]10 {x}^{2} - 13x - 3[/tex]

Comparing to

[tex]a{x}^{2} + bx + c[/tex]

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.