FACTORING BY GCF Review Find the GCF of

FACTORING BY GCF

Review • Find the GCF of: 5 x 2 and 25 x 5 x • Find the GCF of: 2 2 x 16 x 3 and 14 x 2 • Find the GCF of: 36 x 2 and 63 x 9 x

Factoring is the opposite (inverse) of multiplying or distributing polynomials. When you factor, you MUST be able to take something that is the same out of EVERY term.

A polynomial is factored when it is expressed as the product of monomials and polynomials. Your answer will look like: monomial( binomial) or monomial( trinomial)

Steps to factor a BINOMIAL or REGULAR TRINOMIAL: 1. Find the GCF of all of the terms in the Binomial or Trinomial. 2. Divide the GCF out of each term. ANSWER GCF( remaining factors )

You can always check your answer by doing the distributive property. If you distribute and get the expression given in the problem you factored correctly!!

Factor each binomial 1. 2.

Factor each binomial. 3. 7 x 2 + 42 x 4. 15 x – 27 x 2 5. 36 x 5 + 24 x 3 6. 6 g + 14 gh 2

Factor each binomial. 7. 12 x 5 + 20 x 3 9. 20 x + 44 x 2 8. 2 n – 15 n 2 10. 7 yz + 14 yz 2

Factor each Trinomial. 11. 2 x + 8 x 2 + 20 x 4 12. 15 x – 5 x 3 + 30 x 5

Factor each Trinomial. 13. a + a 2 b 3 + a 3 b 3 14. 3 x 3 – 9 x + 18 x 2

END DAY #1.

Review: 8 -2 Part 1 – Factor the following: 1. 4 x 2 + 8 x 3 2. 17 xy + 20 xy 2

Review: 8 -2 Part 1 – Factor the following: 3. 8 x + 16 x 4 4. 6 y + 9 y 4 – 12 y 2

To factor a QUADnomial FACTORING BY GROUPING: 1. Check all terms for GCF 2. Group terms together in pairs (2) 3. Find the GCF of each set 4. Factor each group separately

When you factor by grouping, you may encounter a __________ Factor out a -1 to change -1(3 – a) -3 + a a– 3

Factor each polynomial. 1. 3 x 3 + x 2 + 6 x + 2

Factor each polynomial. 2. 5 x 3 + 15 x 2 – 4 x – 12

Factor each polynomial. 3. 6 x 3 + 4 x 2 + 24 x + 16

Factor each polynomial. 4. 6 y 3 – 21 y 2 + 4 y – 14

Factor each polynomial. 5. 6 x 3 + 3 x + 4 x 2 + 2

Factor each polynomial. 6. 20 x 3 + 40 x 2 + 15 x + 30