penelopepino
Answered

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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)

Sagot :

Answer:

[tex]D.\:\left(5x+3\right)\left(3x-4\right)[/tex]

Step-by-step explanation:

[tex]15x^2 - 11x-12[/tex]

[tex]\left(15x^2+9x\right)+\left(-20x-12\right)[/tex]

[tex]15x^2+9x:3x\left(5x+3\right)[/tex]

[tex]-20x-12:-4\left(5x+3\right)[/tex]

[tex]3x\left(5x+3\right)-4\left(5x+3\right)[/tex]

[tex]\left(5x+3\right)\left(3x-4\right)[/tex]

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