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Question 8 of 40
Factor this polynomial completely.
x2 + 3x - 18
O A. (x-2)(x + 9)
O B. (x+3)(x-6)
O C. (x - 3)(x-6)
O D. (x - 3)(x+6)

Sagot :

Answer:

[tex]D.\:\left(x-3\right)\left(x+6\right)[/tex]

Step-by-step explanation:

[tex]x^2 + 3x - 18[/tex]

[tex]\left(x^2-3x\right)+\left(6x-18\right)[/tex]

[tex]\left(x^2-3x\right):x\left(x-3\right)[/tex]

[tex]\left(6x-18\right):6\left(x-3\right)[/tex]

[tex]x\left(x-3\right)+6\left(x-3\right)[/tex]

Factor, common term:- x-3

[tex]\left(x-3\right)\left(x+6\right)[/tex]

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