Question

Factor Completely 4q^6+8q^3

Answer 1

4q^3(q^3 + 2)

Explanation:

The GCF of the exponents is 3, and the GCF of the bases is 4q. So divide both numbers by 4q ^ 3 and get

4q ^ 6 / 4q ^ 3 = q ^ 3

8q ^ 3 / 4q ^ 3 = 2

so you get

4q^3 (q ^ 3 + 2)

Answer 2

4
`q^(3)`( q³ + 2)

Explanation:

4
`q^(6)` + 8q³ ← factor out 4q³ from each term

= 4q³ (q³ + 2)