Factoring ax 2 +bx+c
Factor a.) 1.) Multiply the 1 st & last terms, find factors of that # that combine to get middle term Factors of 42: 1 & = 43 2 & = 23 2.) Split the middle term 3.) Factor out the GCF from the 1 st two terms, then the last two terms
b.) Factors of -56: 1 & (-56) = & (-28) = ) Multiply the 1 st & last terms, find factors of that # that combine to get middle term 2.) Split the middle term 3.) Factor out the GCF from the 1 st two terms, then the last two terms
C ONTINUED … c.) Factors of 4: -2 & (-2) = & (-4) = -5 1.) Multiply the 1 st & last terms, find factors of that # that combine to get middle term 2.) Split the middle term 3.) Factor out the GCF from the 1 st two terms, then the last two terms
C ONTINUED … d.) Factors of -6: -1 & = 5 -2 & = 1 1.) Multiply the 1 st & last terms, find factors of that # that combine to get middle term 2.) Split the middle term 3.) Factor out the GCF from the 1 st two terms, then the last two terms
C ONTINUED … e.) 2.) Multiply the 1 st & last terms, find factors of that # that combine to get middle term Factors of 28: 1 & = 29 2 & = 16 3.) Split the middle term 4.) Factor out the GCF from the 1 st two terms, then the last two terms 1.) First, factor out the GCF Now, just factor what’s left in brackets & just carry down the 5
C ONTINUED … f.) 2.) Multiply the 1 st & last terms, find factors of that # that combine to get middle term Factors of 5: -1& = -6 3.) Split the middle term 4.) Factor out the GCF from the 1 st two terms, then the last two terms 1.) First, factor out the GCF Now, just factor what’s left in brackets & just carry down the 2
Worksheet: Factoring Day 2 ax 2 +bx+c