Identify the factors of 3a2 + a - 14.

Question

anonymous · Answer

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

accessdenied · Answer

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...
$$(3a+7)(a-2)$$

precal · Answer

AccessDenied did it by factoring by grouping

anonymous · Answer

thanks

precal · Answer

Do you want an alternative approach?