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Question 4 of 25What is the quotient when (x + 2) is divided into the polynomial 2x² - 2x - 12OA. 2x-5 with no remainderOB. 2x-3 with a remainder of 5OC. 2x-6 with no remainderOD. x+3 with a remainder of -2SUBM

Respuesta :

Given the division:

[tex]\frac{2x^2-2x-12}{x+2}[/tex]

Factor the denominator:

[tex]\frac{2(x^2-2x-6)}{x+2}=\frac{2(x+2)(x-3)}{x+2}[/tex]

Eliminate the factor x + 2:

[tex]2(x-3)[/tex]

Multiply:

[tex]2x-6[/tex]

Answer: C. The quotient is 2x-6 with no remainder

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