Factor the trinomial completely. If the polynomial cannot be factored, write "prime."
-$x ^ { 3 } + 2 x ^ { 2 } - 35 x$
A) $x \left( x ^ { 2 } + 2 x - 35 \right)$
B)x(x - 7)(x - 5)
C)x(x + 7)(x + 5)
D)x(x + 7)(x - 5)

Question

Quizplus · Accepted Answer

The trinomial can be factored by first taking out the common factor $x$, resulting in $x(x^2 + 2x - 35)$. The quadratic $x^2 + 2x - 35$ can be factored further into $(x + 7)(x - 5)$. Thus, the complete factorization is $x(x + 7)(x - 5)$.

Factor the Trinomial Completely x3+2x2−35xx ^ { 3 } + 2 x ^ { 2 } - 35 xx3+2x2−35x

Factor the Trinomial Completely $x ^ { 3 } + 2 x ^ { 2 } - 35 x$