
Factoring Flow Chart On each slide click on the word that fits each step Next
What does your problem look like • Is it a binomial? • Is it a trinomial? • Is it a polynomial with 4 or more terms?
Binomial • Is it the difference between two perfect squares? • Yes • No
Is either binomial a difference between two perfect squares • Yes • No
Trinomials • Does your trinomial have a leading coefficient of : • One • A number other than one
Trinomial with leading coefficient other than one • Is your last sign: • Positive • Negative
Last sign positive • Is your middle sign: • Positive • Negative
Last sign positive and middle sign positiveUse (ax + c)(bx + d) and check for your middle term • Are one of your factors difference between two perfect squares • Yes • No
Last sign positive and middle sign negativeUse (ax - c)(bx - d) and check for your middle term • Are one of your factors difference between two perfect squares • Yes • No
Last sign negativeUse (ax + c)(bx - d) and check for your middle term • Are one of your factors difference between two perfect squares • Yes • No
Write as a product of two binomials • Is your last sign: • Positive • Negative
Last sign positive • Is your middle sign: • Positive • Negative
Last sign positive and middle sign positiveUse (x + c)(x + d) and check for your middle term • Are one of your factors difference between two perfect squares • Yes • No
Last sign positive and middle sign negativeUse (x - c)(x - d) and check for your middle term • Are one of your factors difference between two perfect squares • Yes • No
Last sign negativeUse (x + c)(x - d) and check for your middle term • Are one of your factors difference between two perfect squares • Yes • No
Polynomial with 4 or more terms • Group two terms that have a common monomial factor • Factor out a common binomial factor • Ex. Ax + Ay + 3x + 3y • A(x + y) + 3(x + y) • (x + y)(A + 3) • Hint look for oppostites
Congratulations you have successfully completed the problem.Would you like to do another one? • Yes • No
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