Question

What is the factored form of the expression 4p2 - p - 5?A. (2p + 1) (2p - 5)B. (2p + 5) (2p - 1)C. (4p - 1) (p+5)D. (4p - 5) (p+1)

Answer 1

The factored form can be written as,

$\begin{gathered} 4p^2-p-5=4p^2+4p-5p-5 \\ =4p(p+1)-5(p+1) \\ =(p+1)(4p-5) \end{gathered}$

Thus, option (D) is correct.