Question

1. $4p^{3}-68p^{2}+280p$

Explanation:

Step1: Factor out GCF

Identify and factor out the greatest common factor (GCF) of all terms. The GCF of $4p^3$, $-68p^2$, and $280p$ is $4p$.
$4p(p^2 - 17p + 70)$

Step2: Factor quadratic trinomial

Factor the quadratic expression $p^2 - 17p + 70$ by finding two numbers that multiply to $70$ and add to $-17$. These numbers are $-7$ and $-10$.
$4p(p - 7)(p - 10)$

Answer:

$4p(p - 7)(p - 10)$