Question

Factor completely and then place the factors in the proper location on the grid a^2-a-20

Answer 1

`(x-5)(x+4)`

Explanation:

We have the following quadratic equation

`a^2-a-20`

The factored expression will have the following form

`(x+b)(x+c)`

Where b and c are two real numbers which when added together result in -1, and multiplying them results in -20

`b*c=-20\\b+c=-1`

You can verify that the numbers that meet this condition are:

-5 and 4

Then the factors are:

`(x-5)(x+4)`