Question

Factor completely: 2x2 + 4x − 2

2(x2 + 2x − 1)

2(x2+ 2)

2x(x2 + 2x − 1)

Prime

Answer 1

a

Answer 2

\[2 x ^{2} + 4x - 2\]
\[2(x ^{2} + 2x - 1)\]
this cannot be factored any further

Answer 3

\[2x ^{2}+4x-2=2\left( x ^{2}+2x-1 \right)\]
\[=2\left( x ^{2}+2x+1-1-1 \right) \]
\[=2\left[ \left( x+1 \right)^{2}-\left( \sqrt{2} \right)^{2^{}} \right]\]
\[=2\left( x+1+\sqrt{2} \right)\left( x+1-\sqrt{2} \right)\]