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.