Question

Factor the greatest common factor: −5k2 + 20k − 30.

Answer 1

−5(k − 2)(k − 3)

Explanation:

To factor −5k^2 + 20k − 30, we can start by factoring out the greatest common factor, which is −5:

−5(k^2 - 4k + 6)

Now we need to factor the quadratic expression inside the parentheses. We need to find two numbers whose product is 6 and whose sum is −4.

The two numbers are −2 and −3, since (−2)×(−3) = 6 and (−2)+(−3) = −5.

So we can write:

−5(k^2 - 4k + 6) = −5(k − 2)(k − 3)