Question

which especially represents the complete factor form of $2x^3 + {x}^{2} - 8x - 4$a. $(2x - 4)(2x + 1)$b.$(x - 2) ^{2} (2x - 1)$c.$(x - 2)(x + 2)(2x - 1)$d.$(x - 2)(x + 2)(2x + 1)$

Answer 1

$\begin{gathered} \text{ We will see that } \\ (x-2)(x+2)(2x+1)=2x^3+x^2-8x-4 \\ \\ \\ (x-2)(x+2)(2x+1)=(x^2-4)(2x+1) \\ =2x^3+x^2-8x-4 \\ \\ \text{ Thus the answer is d.} \end{gathered}$