Question

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

Answer 1

Answer:

The remainder is -64

Step-by-step 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

$7 * 64 - 512$

$448 - 512$

$-64$