Question

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

Answer 1

Given the division:

`(2x^2-2x-12)/(x+2)`

Factor the denominator:

`(2(x^2-2x-6))/(x+2)=(2(x+2)(x-3))/(x+2)`

Eliminate the factor x + 2:

`2(x-3)`

Multiply:

`2x-6`

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