Question

$-6x^{5}+8x^{4}-14x^{3}$

Explanation:

Step1: Identify greatest common factor

The GCF of coefficients $-6, 8, -14$ is $-2$, and the lowest power of $x$ is $x^3$.

Step2: Factor out the GCF

Divide each term by $-2x^3$ and write as a product.

$$\begin{align*} -6x^5 + 8x^4 - 14x^3 &= -2x^3 \cdot 3x^2 + (-2x^3) \cdot (-4x) + (-2x^3) \cdot 7 \\ &= -2x^3(3x^2 - 4x + 7) \end{align*}$$

Answer:

$-2x^3(3x^2 - 4x + 7)$