# How do you factor #y=n^2-16n+64 #?

##### 1 Answer

Apr 11, 2018

See below:

#### Explanation:

I think the easiest way to think about a problem when asked to factorize is: "What two numbers, when added gives -16, and when multiplied gives 64?"

When factoring in this case you would get:

But we know that

And then we can conclude that the number in question must be

So the factorized version would be:

So the quadratic has a repeated solution:

graph{x^2-16x+64 [-10, 10, -5, 5]}