Factor \({x}^{2}-3x+2\).
Ask: Which two numbers add up to \(-3\) and multiply to \(2\)?
Rewrite the expression using the above.
\[(x-2)(x-1)\]
Factor \({x}^{2}+6x+8\).
Ask: Which two numbers add up to \(6\) and multiply to \(8\)?
Rewrite the expression using the above.
\[(x+2)(x+4)\]
Solve for \(x\).
Ask: When will \((x-2)(x-1)(x+2)(x+4)\) equal zero?
When \(x-2=0\), \(x-1=0\), \(x+2=0\), or \(x+4=0\)
Solve each of the 4 equations above.
\[x=1,-4,\pm 2\]
