Question

How do you divide `(x^3-6x-25x-18)÷(x+2)`?

Answer 1

Remainder: `48`

Explanation:

Use the Factor Theorem which states that:

If `x-a` is a factor of the polynomial `f(x) rArr f(a)=0`

Take `(x+2)=0` so `x=-2`.

`f(-2)=(-2)^3-6(-2)-25(-2)-18`

`=48`

Hence `48` is your remainder.