- #1

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## Homework Statement

Hello.

I don't understand this:

Let f(x) be a polynomial function of degree k+1, then f(x) has the form

a

_{k+1}x

^{k+1}+ ... + a

_{1}x + a

_{0}

Now the polynomial function has degree h(x) = f(x) - a

_{k+1}(x-a) has degree <= k

How?

## Homework Equations

## The Attempt at a Solution

I can understand if (x-a) = x

^{k+1}then the k+1 th term will be gone. But what does (x-a) do?