Chapter 4.5, Problem 4DE

Factor.

$20x^5-46x^4+24x^3$

First, factor out the largest common factor:

$10x^2$ can be factored as

Since −-23 is negative, the factors of 12 must be negative:  12 can be factored as $\left(-1\right)\left(-12\right),\left(-2\right)\left(-6\right),\text{ or }\left(-3\right)\left(-4\right)$.

Next, list all possibilities with $2x$ and $5x$ as the first terms. If none of these is correct, we will check $10x$ and $x$.

Only two possibilities have no common factor:

The factorization of $20x^5-46x^4+24x^3$ is.