Question

What are the factors of 9t^2+12t+4

Answer 1

Answer: (3t-2)^2

Step-by-step explanation:

Well, multiply 9 and 4 together to get 36.

Now what factors of 36 add to 12? Well, 6 and 6, so let's rewrite this:

9t^2-6t-6t+4

Now group factor what you can:

3t(3t-2)-2(3t-2)

Now 3t and -2 both share the common factor of (3t-2) so you can rewrite it as:

(3t-2)(3t-2) which is:

(3t-2)^2.

Hope that makes sense or helps!