Factor the trinomial by grouping.
-$15 x ^ { 2 } + 22 x + 8$
A) $( 15 x + 2 ) ( x + 4 )$
B) prime
C) $( 3 x + 2 ) ( 5 x + 4 )$
D) $( 3 x - 2 ) ( 5 x - 4 )$

Question

Quizplus · Accepted Answer

To factor the trinomial $15x^2 + 22x + 8$, we look for two numbers that multiply to $15 \times 8 = 120$ and add up to 22. These numbers are 10 and 12. We can rewrite the middle term (22x) as 10x + 12x, leading to $15x^2 + 10x + 12x + 8$. Grouping the terms, we get $5x(3x + 2) + 4(3x + 2)$, which factors further into $(3x + 2)(5x + 4)$.

Factor the Trinomial by Grouping 15x2+22x+815 x ^ { 2 } + 22 x + 815x2+22x+8

Factor the Trinomial by Grouping $15 x ^ { 2 } + 22 x + 8$