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

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)