Question

Find the remainder if P(x)=x^3+17 is divided by (x+2).

Answer 1

9 ?

Answer 2

The answer is 9, but I dont understand how to get it.

Answer 3

@DarthTony

Answer 4

@blahblah_who_cares Have you studied synthetic division or the Remainder Theorem?

Answer 5

I have.

Answer 6

Remainder Theorem?

Answer 7

No. Just synthetic. And I might have learned Remainder but I dont recall anything like it. .

Answer 8

for (x+2) evaluate f(-2) to get remainder

Answer 9

We can do either here.

I will post the Remainder Theorem so that you can tell me if you've ever seen it. Regardless, we will do the problem but will use the method you have studied. Tell me which method after you look at this remainder theorem.

Remainder Theorem


If a polynomial P( x) is divided by ( x – r), then the remainder of this division is the same as evaluating P( r), and evaluating P( r) for some polynomial P( x) is the same as finding the remainder of P( x) divided by ( x – r).

Answer 10

@blahblah_who_cares

Answer 11

Yah. Ive never learned Remainder Theorem. @Directrix

Answer 12

We'll do synthetic division.

Answer 13

P(x)=x^3+17 is divided by (x+2)

P(x) = x^3 + 0x^2 + 0x + 17 divided by (x + 2)