Question

How do you factor `6k ^ { 2} + 15k - 75`?

Answer 1

`3(k +5)(2k - 5)`

Explanation:

Given: `6k^2 + 15k - 75`

Factor the greatest common factor (GCF): `3(2k^2 + 5k - 25)`

Now find two numbers that multiply to `-25` and sum to `5`:

`3(k + 5)(2k - 5)`