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Which expression is equivalent to 3x2 - 10x - 8?

A-(3x - 4)(x + 2)
B-(3x - 4)(x - 2)
C-(3x - 2)(x - 4)
D-(x - 4)(3x + 2)

User Donn Lee
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1 Answer

2 votes

Answer:

D

Explanation:

3x² - 10x - 8

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 8 = - 24 and sum = - 10

the factors are - 12 and + 2

use these factors to split the x- term

3x² - 12x + 2x - 8 ( factor the first/second and third/fourth terms )

= 3x(x - 4) + 2(x - 4) ← factor out (x - 4) from each term

= (x - 4)(3x + 2)

User Mike Depies
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