Question

Factor the expression completely. (Hint... Remove the GCF first, then break up into twobinomials).2x^2+ 4x - 16

Answer 1

`\begin{gathered} 2x^2\text{ + 4}x\text{ -16} \\ We\text{ n}eed\text{ to get two number value that will give us: -32 and +4} \\ \text{The numbers value will be +8 and -4} \\ \text{Therefore the equation becomes} \\ 2x^2\text{ + 8}x\text{ -4}x\text{-16} \\ 2x(x\text{ + 4)-4(}x\text{ + 4)} \\ (x\text{ + 4)}(2x\text{ -4)} \\ (2x\text{ -4)}(x\text{ + 4)} \\ 2(x-2)(x+4) \\ 2(x+4)(x-2) \end{gathered}`