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Factoring Flow Chart. On each slide click on the word that fits each step Next. Look for greatest common monomial factors 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.

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factoring flow chart

Factoring Flow Chart

On each slide click on the word that fits each step

Next

what does your problem look like
What does your problem look like
  • Is it a binomial?
  • Is it a trinomial?
  • Is it a polynomial with 4 or more terms?
binomial
Binomial
  • Is it the difference between two perfect squares?
  • Yes
  • No
trinomials
Trinomials
  • Does your trinomial have a leading coefficient of :
  • One
  • A number other than one
trinomial with leading coefficient other than one
Trinomial with leading coefficient other than one
  • Is your last sign:
  • Positive
  • Negative
last sign positive
Last sign positive
  • Is your middle sign:
  • Positive
  • Negative
last sign positive and middle sign positive use ax c bx d and check for your middle term
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 negative use ax c bx d and check for your middle term
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 negative use ax c bx d and check for your middle term
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
Write as a product of two binomials
  • Is your last sign:
  • Positive
  • Negative
last sign positive14
Last sign positive
  • Is your middle sign:
  • Positive
  • Negative
last sign positive and middle sign positive use x c x d and check for your middle term
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 negative use x c x d and check for your middle term
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 negative use x c x d and check for your middle term
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
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
Congratulations you have successfully completed the problem.Would you like to do another one?
  • Yes
  • No