Rewrite the polynomial as a praduct of its llnear factors 7x^3-14x^2-21x One of the zeros of the function is 0. square

## Step 1: Factor out the Greatest Common Factor (GCF)<br />### The GCF of $7x^3$, $-14x^2$, and $-21x$ is $7x$. Factoring it out gives $7x(x^2 - 2x - 3)$.<br /><br />## Step 2: Factoring the Quadratic Expression<br />### The quadratic expression $x^2 - 2x - 3$ can be factored as $(x-3)(x+1)$. This is because we are looking for two numbers that multiply to -3 and add to -2. Those numbers are -3 and 1.<br /><br />## Step 3: Combining the Factors<br />### Combining the GCF and the factored quadratic gives the complete factorization: $7x(x-3)(x+1)$.