Factoring Trinomials and Difference of Two Perfect Squares

Factoring Trinomials and Difference of Two Perfect Squares

Sign Rule for Factoring Trinomials: l When l The the last term is POSITIVE… signs inside the parenthesis will be the SAME as the middle number’s sign

Sometimes you can factor out a st GCF 1 !

2 2 x – 16 x + 24 2 2(x – 8 x +12) 2( x – 6)( x – 2)

3 y 2 + 36 y + 60 3(y +10)(y +2) 4 x 2 +24 x + 32 4(x + 2)(x + 4)

Sign Rule for Factoring Trinomials: l When l The the last term is NEGATIVE… parenthesis will have DIFFERENT SIGNS. l The larger factor will have the SAME sign as the middle number

3 2 x + 2 18 x + 28 x

4 c + 3 2 c – 2 80 c

2 3 x + 6 x – 24

2 5 x + 5 x – 10

3 3 x – 2 6 x – 45 x

3 3 x – 2 39 x + 120 x

Difference of Two Perfect Squares

Factoring Difference of Two Squares 1. Both terms must be Perfect Squares and have a MINUS between them 2. Check the binomial for GCF 3. Use two sets of parenthesis (one’s a plus, one’s a minus) 4. Split up what it takes to make the 1 st a perfect square and what it takes the 2 nd to be a perfect square

Difference of Two Squares Factor

Difference of Two Squares Factor

3 2 x – 162 x

2 16 x – 36

Classwork Worksheet