9.5 - Factoring Polynomials when a = 1

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9.5 - Factoring Polynomials when a = 1 Do NOW Factor the following: 16x + 64 25x2 + 35x 70x2y – 49xy2 x2(y – 2) – 7(y – 2) 3ab – 2b – 3a + 2 4/25/2019 10:55 PM 9.5 - Factoring Polynomials when a = 1

9.5 - Factoring Polynomials when a = 1 Worksheet Key 4/25/2019 10:55 PM 9.5 - Factoring Polynomials when a = 1

9.5 - Factoring Polynomials when a = 1 Worksheet Key 4/25/2019 10:55 PM 9.5 - Factoring Polynomials when a = 1

9.5 - Factoring Polynomials when a = 1 Worksheet Key 4/25/2019 10:55 PM 9.5 - Factoring Polynomials when a = 1

Factoring Polynomials when A = 1 SECTION 10.2 ©2012, vdang@houstonisd.org 4/25/2019 10:55 PM 9.5 - Factoring Polynomials when a = 1

Steps in Factoring Polynomials Determine if there is a GCF Determine the Target Product and Target Sum of the equation Multiply the First and Last Term Ensure the terms adds to the middle and multiplies the end LIST ALL PRODUCTS Rewrite the problem with the new middle terms Make sure that one of the binomials is the same on both sides Factor by Grouping by Splitting the Terms Combine like terms and multiply 4/25/2019 10:55 PM 9.5 - Factoring Polynomials when a = 1

9.5 - Factoring Polynomials when a = 1 Example 1 Factor x2 + 5x + 6 TS TP +5 +6 SUM PRODUCT 4/25/2019 10:55 PM 9.5 - Factoring Polynomials when a = 1 7

9.5 - Factoring Polynomials when a = 1 Example 1 Factor x2 + 5x + 6 4/25/2019 10:55 PM 9.5 - Factoring Polynomials when a = 1 8

9.5 - Factoring Polynomials when a = 1 Tile Representation Positive Negative x2 x Numbers 4/25/2019 10:55 PM 9.5 - Factoring Polynomials when a = 1 9

9.5 - Factoring Polynomials when a = 1 Example 1 Factor x2 + 5x + 6 x +2 +2x 1x2 +3x +6 x + 3 4/25/2019 10:55 PM 9.5 - Factoring Polynomials when a = 1 10

9.5 - Factoring Polynomials when a = 1 Example 1 Calculator Check Factor x2 + 5x + 6 4/25/2019 10:55 PM 9.5 - Factoring Polynomials when a = 1 11

9.5 - Factoring Polynomials when a = 1 Example 2 Factor x2 + 7x + 10 and draw it using tiles 4/25/2019 10:55 PM 9.5 - Factoring Polynomials when a = 1 12

9.5 - Factoring Polynomials when a = 1 Example 3 Factor x2 – 7x + 10 and draw it using tiles 4/25/2019 10:55 PM 9.5 - Factoring Polynomials when a = 1 13

9.5 - Factoring Polynomials when a = 1 Example 4 Factor x2 + 3x – 28 and draw it using tiles 4/25/2019 10:55 PM 9.5 - Factoring Polynomials when a = 1 14

9.5 - Factoring Polynomials when a = 1 Your Turn Factor x2 + x – 42 4/25/2019 10:55 PM 9.5 - Factoring Polynomials when a = 1 15

9.5 - Factoring Polynomials when a = 1 Example 5 Factor x2 – 49 4/25/2019 10:55 PM 9.5 - Factoring Polynomials when a = 1 16

9.5 - Factoring Polynomials when a = 1 Example 5 Factor x2 – 49 4/25/2019 10:55 PM 9.5 - Factoring Polynomials when a = 1 17

9.5 - Factoring Polynomials when a = 1 Example 6 Factor x2 + 49 and show it using tiles 4/25/2019 10:55 PM 9.5 - Factoring Polynomials when a = 1 18

9.5 - Factoring Polynomials when a = 1 Your Turn Factor x2 – 4 and show it using tiles 4/25/2019 10:55 PM 9.5 - Factoring Polynomials when a = 1 19

9.5 - Factoring Polynomials when a = 1 Example 7 Factor 3x2 – 24x – 60 and draw it using tiles 4/25/2019 10:55 PM 9.5 - Factoring Polynomials when a = 1 20

9.5 - Factoring Polynomials when a = 1 Example 7 Factor 3x2 – 24x – 60 and draw it using tiles 4/25/2019 10:55 PM 9.5 - Factoring Polynomials when a = 1 21

9.5 - Factoring Polynomials when a = 1 Example 8 Factor 2x4 – 26x3 + 84x2 4/25/2019 10:55 PM 9.5 - Factoring Polynomials when a = 1 22

9.5 - Factoring Polynomials when a = 1 Your Turn Factor 3x4 – 18x3 – 21x2 4/25/2019 10:55 PM 9.5 - Factoring Polynomials when a = 1 23

9.5 - Factoring Polynomials when a = 1 Assignment Worksheet 4/25/2019 10:55 PM 9.5 - Factoring Polynomials when a = 1 24