Question

Describe how to find linear expressions for the possible dimensions of a rectangular prism with a volume of 8k^3 +26k^2+ 6k.

Answer 1

8k ^ 3 + 26k ^ 2 + 6k
 For this case, the first thing you should do is rewrite the expression.
 We have then:
 Step 1:
 Take out common factor.
 8k ^ 3 + 26k ^ 2 + 6k
 2k * (4k ^ 2 + 13k + 3)
 Step 2:
 Factor quadratic expression.
 2k * (4k ^ 2 + 13k + 3)
 2k * (4k + 1) * (k + 3)
 Answer:
 to find linear expressions for the possible dimensions of a rectangular we rewrite the expression:
 2k * (4k + 1) * (k + 3)