Check your answers from Friday!

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Presentation transcript:

Check your answers from Friday! Page 10

1/22

FACTORING BY GCF

5x 2x2 9x Review Find the GCF of: 5x2 and 25x

When you factor, you MUST 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)

GCF( remaining factors ) 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. GCF( remaining factors ) ANSWER

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. 7x2 + 42x 4. 15x – 27x2 5. 36x5 + 24x3 6. 6g + 14gh2

Factor each binomial. 7. 12x5 + 20x3 8. 2n – 15n2 9. 20x + 44x2 10. 7yz + 14yz2

Factor each Trinomial. 11. 2x + 8x2 + 20x4 12. 15x – 5x3 + 30x5

Factor each Trinomial. 13. a + a2b3 + a3b3 14. 3x3 – 9x + 18x2 Typed wrong in Guided Notes

END DAY #1.

You have the rest of the class to finish page 12. 1/22 1/23 14 You have the rest of the class to finish page 12. Ms. Hillstrom will come around and give you check marks.

1/22 1/23 14 1/24 + HW 6

Review: 8-2 Part 1 – Factor the following: 4x2 + 8x3 17xy + 20xy2

Review: 8-2 Part 1 – Factor the following: 8x + 16x4 6y + 9y4 – 12y2

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

binomial additive inverse: When you factor by grouping, you may encounter a ___________________ binomial additive inverse: 3 - a and a - 3 Factor out a -1 to change -1(3 – a) -3 + a a – 3

Factor each polynomial. 1. 3x3 + x2 + 6x + 2

Factor each polynomial. 2. 5x3 + 15x2 – 4x – 12

Factor each polynomial. 3. 6x3 + 4x2 + 24x + 16

Factor each polynomial. 4. 6y3 – 21y2 + 4y – 14

Factor each polynomial. 5. 6x3 + 3x + 4x2 + 2

Factor each polynomial. 6. 20x3 + 40x2 + 15x + 30