Factor this polynomial completely. 15x2 - 11x-12 O A. (15x - 3)(x + 4) O B. (3x+3)(5x - 4) C. (15x – 4)(x+3) O D. (5x+3)(3x

Milimetric asked Dec 5, 2023

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8 votes

Factor this polynomial completely.

15x2 - 11x-12
O A. (15x - 3)(x + 4)
O B. (3x+3)(5x - 4)
C. (15x – 4)(x+3)
O D. (5x+3)(3x – 4)

Milimetric asked Dec 5, 2023

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21 votes

Answer:

$D.\:\left(5x+3\right)\left(3x-4\right)$

Explanation:

15x^2 - 11x-12

$\left(15x^2+9x\right)+\left(-20x-12\right)$

$15x^2+9x:3x\left(5x+3\right)$

$-20x-12:-4\left(5x+3\right)$

$3x\left(5x+3\right)-4\left(5x+3\right)$

$\left(5x+3\right)\left(3x-4\right)$

Overthink answered Dec 9, 2023

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