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}`