Answer
(a) $3$ terms
The terms are: $2x^{5}$, $6x^{4}$, $4x^{3}$
(b) $2x^{3}$
$2x^{5}+6x^{4}+4x^{3}$ = $2x^{3}(x+1)(x+2)$
Work Step by Step
(a) Count the number of terms in the polynomial equation, which are: $2x^{5}$, $6x^{4}$, $4x^{3}$. Therefore, there are three.
(b) $2x^{3}$ is the largest term that can be factored from the polynomial equation.
Taking out the highest common factor: $2x^{5}+6x^{4}+4x^{3}$ = $2x^{3}(x^{2}+3x+2)$ which can be further simplified as $2x^{3}(x+1)(x+2)$.
