Question

1. factor the polynomial below.

12ax⁴ + 18bx² + 36cx

Explanation:

Step1: Find GCF of coefficients

GCF of 12, 18, 36 is 6.

Step2: Find GCF of variable terms

GCF of $x^4$, $x^2$, $x$ is $x$.

Step3: Factor out overall GCF

Factor $6x$ from each term:
$6x \cdot 2ax^3 + 6x \cdot 3bx + 6x \cdot 6c$

Answer:

$6x(2ax^3 + 3bx + 6c)$