Question

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

Answer 1

Answer:

$(x-5)(x+4)$

Step-by-step 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:

$(x-5)(x+4)$