Question

Factor completely x2 − 10x + 25. (2 points)

Answer 1

(x-5)(x-5)

Explanation:

Ok... This ones actually pretty simple.

So all you have to do is find 2 numbers that add up to -10, and multiply to 25. You will quickly realize that the only 2 numbers that do that are -5 and -5. Then, all you have to do is write the now factored equation. (x-5)(x-5)

There are 2 ways to check your work. The first is to FOIL (first, inside, outside, last). This should get you back to your original equation

The second way to do it is to plug it into a graphing program. If you graph your factored equation and your original equation, they should be the same!

I hope this helps!

If you have any other questions just feel free to ask me.

Answer 2

For this case we must factor the following expression:

`x ^ 2-10x + 25`

For this, we must find two numbers that when multiplied give 25 and when added to -10.

These numbers are -5 and -5:

`-5-5 = -10\\-5 * -5 = 25`

Then, the factorization is given by:

`(x-5) (x-5)\\(x-5) ^ 2`

Answer:

`(x-5) ^ 2`