9.6 Factoring Trinomials

9.6 – Factoring Trinomials Goals / “I can…”  Factor trinomials in the form ax + bx + c 2

9.6 – Factoring Trinomials The ability to factor trinomials with a leading coefficient, a, is very similar to yesterday’s assignment. The difference is you have to consider the factors of a.

9.6 – Factoring Trinomials Look at the trinomial: 20y + 17y + 3 2

9.6 – Factoring Trinomials 20y + 17y + 3 What are the factors of 20? What are the factors of 3? What combination of those factors gives the total of the middle term, 17? 20*3 + 1*1 = 10*3 + 2*1 = 5*3 + 4*1 = 5*1 + 3*4 = 20*1 + 3*1 = 10*1 + 3*2 = 2

9.6 – Factoring Trinomials Using that combination, write two binomials that would give you the original trinomial. (4x + 1)(5x + 3)

9.6 – Factoring Trinomials TRY: 6x + 5x + 1 2

9.6 – Factoring Trinomials How would it change if you had a negative? 3n – 7n – 6 What are the factors of 3 and -6? What combination would give you -7? 2

9.6 – Factoring Trinomials TRY: 3y – 16y – 12 2

9.6 – Factoring Trinomials Sometimes we can factor a number out first and it makes it easier to factor. 24m – 32m + 8 2

9.6 – Factoring Trinomials 24m – 32m + 8 Since it might be hard to find factors of 24 and 8, factor a GCF out first. 24m – 32m + 8 8(3m – 4m + 1) Now factor (3m – 4m + 1)

9.6 – Factoring Trinomials DON’T FORGET THE 8!!!! DON’T FORGET THE 8!!!! 8(3m – 1)(m – 1)

9.6 – Factoring Trinomials 7x 2 – 26x – 8

9.6 – Factoring Trinomials 10w w – 8

14n n – 15 Factors of 210: -1 and and and Example #8: Multiply 14 & and 4237 = and and 3023