Question

Use synthetic division and the remainder theorem to find P(–1) if P(x) = 2x3+3x2-x–3.

Answer 1

The value of P(-1) is -1

∴ P(-1)=-1

Explanation:

Given polynomial is
`P(x)=2x3+3x2-x-3`

To solve the given polynomial by using synthetic division and the remainder theorem to find P(–1):

By using the Synthetic division and remainder theorem we can solve it.

From the given P(-1) we can write it as

-1_| 2 3 -1 -3

0 -2 -1 2

_________________

2 1 -2 -1

Hence we get the remainder -1

The value of P(-1) is -1

∴ P(-1)=-1