Question

Identify the factors of 3a2 + a - 14.

Answer 1

3a^2 + 7a -6a - 14/(a - 2)(3a + 7) is the answer.

Answer 2

Multiply the leading coefficient by the constant term:
3*(-14) = -42

You are looking for two terms that will add up to positive one and multiply to get -42.
-6 and 7 would be appropriate.

\[ 3a^{2} + a - 14 = 3a^{2} - 6a + 7a - 14 \]

From there, you would factor out of the first two terms and the last two terms to get...
\[3a(a-2) + 7(a-2)\]

Factor out the (a-2) from each and you will end up with...
\[(3a+7)(a-2)\]

Answer 3

AccessDenied did it by factoring by grouping

Answer 4

thanks

Answer 5

Do you want an alternative approach?