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Drag the terms to the correct locations in the expression. Not all terms will be used.

What is the complete factorization of 5x² - 11x-12?
3x
5x
(_____+_)(____−____)
2
3
Please help!!

User Paradite
by
7.4k points

2 Answers

1 vote

Answer:

(x - 3)(5x + 4)

Explanation:

5x² - 11x - 12

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 = 5 × - 12 = - 60 and sum = - 11

the factors are - 15 and + 4

use these factors to split the x- term

5x² - 15x + 4x - 12 ( factor first/second and third/fourth terms )

= 5x(x - 3) + 4(x - 3) ← factor out (x - 3) from each term

= (x - 3)(5x + 4)

User Jakehao
by
8.2k points
3 votes

Answer:

(5x+4)(x-3)

Explanation:

User Jaredsk
by
8.4k points

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