Factor the trinomial.
-$$6 x ^ { 2 } - 26 x - 20$$
A) $( 6 x + 4 ) ( x - 5 )$
B) $2 ( 3 x + 2 ) ( x - 5 )$
C) $2 ( 3 x - 2 ) ( x + 5 )$
D) prime polynomial

Question

Quizplus · Accepted Answer

To factor the trinomial $6x^2 - 26x - 20$, first, factor out the greatest common factor (GCF), which is 2, giving $2(3x^2 - 13x - 10)$. Then, find two numbers that multiply to $3 \times -10 = -30$ and add to -13, which are -15 and +2. Rewrite the middle term using these numbers and factor by grouping, leading to the factorization $2(3x + 2)(x - 5)$.

Factor the Trinomial 6x2−26x−206 x ^ { 2 } - 26 x - 206x2−26x−20

Factor the Trinomial $6 x ^ { 2 } - 26 x - 20$