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Factoring ax 2 +bx+c when a is not 1. “Guess-Check” Method for factoring ax 2 +bx+c. Determine factors of ax 2 and use as first terms in the binomial pair (? )(? ) Determine signs of second terms.( ? )( ? ) Determine factors of c. ( ?)( ?)
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“Guess-Check” Method for factoring ax2+bx+c • Determine factors of ax2 and use as first terms in the binomial pair (? )(? ) • Determine signs of second terms.( ? )( ? ) • Determine factors of c. ( ?)( ?) • OI from FOIL must produce bx in the original trinomial.
“acb” Method for factoring ax2+bx+c • Write the trinomial • Make the X • Complete the X • Use the factors of ac that add to b as coefficients of x • Factor by grouping ac b