Question

Following long division, the polynomial P(x)=2x^3+x^2 - 3x - 6, can also be written as (x+1)(2x^2 - x -2)-4. What is the quotient Q(x)?a. x+1b. (2x^2 - x -2)c. (2x^2 - x +2)-4d. (x+1) (2x^2 - x -2)

Answer 1

Given data:

the polynomial,

$p(x)=2x^3+x^2-3x-6$

the polynomial can be written as,

$(x+1)\mleft(2x^2-x-2\mright)-4$

the quotient is

$(2x^2-x-2)$

thus, the answer is option b.