Question

factor completely 2p⁴+6p³-8p²-4p p(p³+p²-2p+2) 2p³(p+3p+4p-2) 2p(p³+3p²-4p-2) none of the above

Explanation:

Step1: Factor out GCF

Identify and factor the greatest common factor (GCF) from all terms. The GCF of $2p^4$, $6p^3$, $-8p^2$, and $-4p$ is $2p$.
$$2p^4+6p^3-8p^2-4p = 2p(p^3 + 3p^2 - 4p - 2)$$

Step2: Match with options

Compare the fully factored form to the given answer choices.

Answer:

2p(p³+3p²-4p-2)