Factor the trinomial completely by using any method. Remember to look for a common factor first. $6 r ^ { 2 } - 35 r - 49$
A) Prime
B) $r ( 6 r - 35 ) - 49$
C) $( 6 r + 7 ) ( r - 7 )$
D) $( 6 r + 7 ) ( r + 7 )$

Question

Quizplus · Accepted Answer

The trinomial can be factored by finding two numbers that multiply to $6 \times -49 = -294$ and add to $-35$. These numbers are $+7$ and $-42$. Rewriting the middle term and factoring by grouping gives $(6r^2 + 7r) - (42r + 49) = r(6r + 7) - 7(6r + 7) = (6r + 7)(r - 7)$.

Factor the Trinomial Completely by Using Any Method 6r2−35r−496 r ^ { 2 } - 35 r - 496r2−35r−49

Factor the Trinomial Completely by Using Any Method $6 r ^ { 2 } - 35 r - 49$