Question

PLS HELP ME PASS

What is the result of factoring out the greatest common factor from the polynomial 15u3 + 9u2v - 18uv2?

a
3uv (5u^2 + 3u - 6v)
b
3u (5u^2 + 3uv - 6v^2)
c
uv (15u^2 + 9u -18v)
d
u (15u^2 + 9uv - 18v^2

Answer 1

B

Explanation:

By looking at the problem, we can realize that all the three terms share the constant 3 and the variable u, so 3u is our GCF. Now, we factor out 3u, and divide each term by 3u to show what's left:

3u( 15u^3 / 3u + 9u^2v / 3u - 18uv^2 / 3u)

15u^3 / 3u --> 5u^2

9u^2v / 3u --> 3uv

- 18uv^2 / 3u --> -6v^2

3u(5u^2 + 3uv - 6v^2)

This aligns with option B, so B is the answer.