Question

An expression is shown below:

4ck2 + 10k2 − 16ck − 40k

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

Answer 1

2k(2c + 5)(k - 4)

Explanation:

Part A

4ck² + 10k² - 16ck - 40k ← factor out 2k from each term

= 2k(2ck + 5k - 8c - 20)

Part B

factor the parenthesis ( 2ck + 5k - 8c - 20 )

factor the first/second and third/fourth terms

= k(2c + 5) - 4(2c + 5) ← factor out (2c + 5) from each term

= (2c + 5)(k - 4)

then

4ck² + 10k² - 16ck - 40k = 2k(2c + 5)(k - 4)