9.6 Factor ax2 + bx + c
Presenting Mr. Olsen's Magic Means of Factoring any Quadratic!!
Factor 2x2­7x+3
Make parenthesis, put first term in both with indicated signs.
Multiply a and c. Find factors that combine to give middle term
Since c is positive, factors should add to give middle term
Put factors in place, rember bigger number goes first!
Remove greatest common factor where possible.
Let's try that again, shall we?
Factor 3x2+14x­5
Make parenthesis, put first term in both with indicated signs.
Multiply a and c. Find factors that combine to give middle term
Since c is negative, factors should subtract to give middle term
Put factors in place, rember bigger number goes first!
Remove greatest common factor where possible.
1
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4