Question

What is the remainder when 7x^2- x^3is divided by x - 8?

Answer 1

The remainder is -64

Explanation:

Given

`7x^2 - x^3`

Divided by
`x - 8`

Required

Determine the remainder

Equate
`x - 8` to 0

`x - 8 = 0`

Solve for x

`x = 8`

Using remainder theorem, substitute 8 for x in
`7x^2 - x^3`

So, we have:

`7 * 8^2 - 8^3`

Evaluate all exponents

`7 * 64 - 512`

`448 - 512`

`-64`