Question

factor using the ac-method.
$10x^2 + 17x + 3$

c. factor by grouping.
d. multiply the leading coefficient and the constant.
multiply the leading coefficient and the constant.
$10(3) = 30$
what is the next step to factoring the given trinomial using the ac - method?
a. look for a pair of factors of 17 whose sum is 30.
b. look for a pair of factors of 17 whose sum is 3.
c. look for a pair of factors of 3 whose sum is 17.
d. look for a pair of factors of 30 whose sum is 17.

Explanation:

The AC-method for factoring $ax^2+bx+c$ has the next step after calculating $ac$: find two factors of $ac$ that add up to $b$. Here, $ac=30$ and $b=17$.

Answer:

D. Look for a pair of factors of 30 whose sum is 17.