Consider the polynomial function g (x) = x³-3x²+6x+8. Divide g by x+1.

Quotient (x² - 4x + 10)

Reminder - 2

Step-by-step explanation:

We have to consider the polynomial function g (x) = x³ - 3x² + 6x + 8

Now, we have to divide g (x) by (x+1)

Let us arrange the terms of g (x) to get (x+1) as common.

x³ - 3x² + 6x + 8

= x³ + x² - 4x² - 4x + 10x + 10 - 2

= x² (x + 1) - 4x (x + 1) + 10 (x + 1) - 2

= (x + 1) (x² - 4x + 10) - 2

Hence, if we divide g (x) by (x + 1) then the quotient will be (x² - 4x + 10) and the reminder will be - 2. (Answer)