1. Factoring ax 2 +bx+c

2.  Factor a.) 1.) Multiply the 1 st & last terms, find factors of that # that combine to get middle term Factors of 42: 1 & 421 + 42 = 43 2 & 212 + 21 = 23 2.) Split the middle term 3.) Factor out the GCF from the 1 st two terms, then the last two terms

3. b.) Factors of -56: 1 & -561 + (-56) = -55 2 & -282 + (-28) = -26 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

4. C ONTINUED … c.) Factors of 4: -2 & -2-2 + (-2) = -4 -1 & -4-1+ (-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

5. C ONTINUED … d.) Factors of -6: -1 & 6-1+ 6 = 5 -2 & 3-2+ 3 = 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

6. C ONTINUED … e.) 2.) Multiply the 1 st & last terms, find factors of that # that combine to get middle term Factors of 28: 1 & 281+ 28 = 29 2 & 142+ 14 = 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

7. C ONTINUED … f.) 2.) Multiply the 1 st & last terms, find factors of that # that combine to get middle term Factors of 5: -1& -5-1+ -5 = -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

8.  Worksheet: Factoring Day 2 ax 2 +bx+c