## Precalculus: Mathematics for Calculus, 7th Edition

(a) $3$ terms The terms are: $2x^{5}$, $6x^{4}$, $4x^{3}$ (b) $2x^{3}$ $2x^{5}+6x^{4}+4x^{3}$ = $2x^{3}(x+1)(x+2)$
(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 $2x^{3}(x+1)(x+2)$.