# How do you use synthetic substitution to find P(2) for # P(x) = 4x^3 - 5x^2 + 7x - 9#?

##### 1 Answer

Jun 19, 2015

#### Answer:

#### Explanation:

I'm still working on finding a good way to format division here, but if you know synthetic division at all, I think this will get the idea across.

The quotient is

So, the Remainder Theorem tells us that

It may not seem like a big deal, but for many people this is faster tan evaluating

And there are other uses of this fact (theorem).