# How do you use synthetic division and the Remainder Theorem to find P(a) #P(x) = 2x^3 - x^2 + 10x + 5# ;a = 1/2?

##### 1 Answer

Sep 23, 2015

Divide

Here is the synthetic division:

(You could use long division to get the number instead. But your teacher/grader may want to choose the type of division to check your knowledge of it.)

The remainder is

The remainder Theorem says that when we divide a polynomial

When we divided this

So,

(Division format from Ernest Z.)