Question

factor of the polynomial below? $2xy^{2}+14x^{3}y^{2}z$

Explanation:

Step1: Identify greatest common factor (GCF)

Find GCF of coefficients and variables:

• Coefficients: GCF of 2 and 14 is 2.
• Variables: GCF of $x$ and $x^3$ is $x$; GCF of $y^2$ and $y^2$ is $y^2$; $z$ only appears in the second term, so no $z$ in GCF.

Overall GCF: $2xy^2$

Step2: Factor out the GCF

Divide each term by the GCF and write as a product:
$2xy^2 + 14x^3y^2z = 2xy^2(1 + 7x^2z)$

Answer:

$2xy^2(1 + 7x^2z)$