Factor the polynomial by grouping.
-$25 x + 35 x ^ { 2 } + 6 x ^ { 3 }$
A)6x(x + 5)(x + 5)
B)x(x + 5)(6x + 5)
C)x(6x + 5)(x + 6)
D)prime

Question

Quizplus · Accepted Answer

First, rearrange the polynomial as $6x^3 + 35x^2 + 25x$. Then, factor by grouping: factor out $x$ from all terms to get $x(6x^2 + 35x + 25)$. Next, notice that $6x^2 + 35x + 25$ can be factored further into $(6x + 5)(x + 5)$, resulting in the final factorization of $x(6x + 5)(x + 5)$.

Factor the Polynomial by Grouping 25x+35x2+6x325 x + 35 x ^ { 2 } + 6 x ^ { 3 }25x+35x2+6x3

Factor the Polynomial by Grouping $25 x + 35 x ^ { 2 } + 6 x ^ { 3 }$