Factor the trinomial by grouping.
-$14 x ^ { 3 } - 133 x ^ { 2 } + 245 x$
A) $7 x ( x + 7 ) ( 2 x + 5 )$
B) prime
C) $x ( 7 x - 7 ) ( 2 x - 5 )$
D) $7 x ( x - 7 ) ( 2 x - 5 )$

Question

Quizplus · Accepted Answer

First, factor out the greatest common factor, which is $7x$, giving $7x(2x^2 - 19x + 35)$. Then, factor the quadratic inside the parentheses by finding factors of $35$ that add up to $-19$, which are $-14$ and $-5$, leading to $7x(x-7)(2x-5)$.

Factor the Trinomial by Grouping 14x3−133x2+245x14 x ^ { 3 } - 133 x ^ { 2 } + 245 x14x3−133x2+245x

Factor the Trinomial by Grouping $14 x ^ { 3 } - 133 x ^ { 2 } + 245 x$