Answer:
−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)