Question

a^2+3a- 10 factor !

Answer 1

Thanks for posting your problem!

~To find the factored form of this, first find the factors of -10.

The Factors of -10 are:
-5, 2
-2, 5
-10, 1
10, -1

~Now, which pair of these factors will add up to get a sum of Positive 3
Well look, 5 + -2 is the same as 5 - 2, which equals to 3.

Now since a goes to the second power you must do the following...

(a +- ?) (a +- ?)

Now look back at the pair of factors you had gotten.

The pair is both negative and positive; now input the pair into those parentheses.

It simplifies to (a + 5) (a - 2)

Check Your Work!
-Distribute (a + 5) into (a - 2)

\[a ^{2} -2a + 5a - 10\]

Combine like terms.