WARMUP Factor out the following 1 2 3

ASSIGNMENT QUESTIONS 3/8/2021 7: 53 PM R-5: Factoring Polynomials 2

FACTORING POLYNOMIALS SECTION R-5 Continued 3/8/2021 7: 53 PM R-5: Factoring Polynomials 3

REVIEW OF PERFECT SQUARES Factor: x 2 + 4 x + 4 3/8/2021 7:

REVIEW OF PERFECT SQUARES Factor: 25 x 2 – 10 x + 1 3/8/2021

REVIEW OF SUM/DIFFERENCE OF CUBES Factor: x 3 – 64 3/8/2021 7: 53 PM

REVIEW OF SUM/DIFFERENCE OF CUBES Factor: 8 x 3 + 1 3/8/2021 7: 53

FACTORING TRINOMIALS Trinomials have three terms. Remember: Always look for a GCF first! 3/8/2021

EXAMPLE 1 Factor 3/8/2021 7: 53 PM R-5: Factoring Polynomials 9

EXAMPLE 2 Factor 3/8/2021 7: 53 PM R-5: Factoring Polynomials 10

YOUR TURN Factor: x 2 + 10 x + 16 (x + 2)(x +

SWING METHOD OF FACTORING Only applies to coefficients of ‘a’ greater than 1 1.

EXAMPLE 3 Product Bring out the coefficient Factored Form Sum Divide by ‘a’ Bring

EXAMPLE 4 3/8/2021 7: 53 PM R-5: Factoring Polynomials 14

EXAMPLE 5 Factor out 3/8/2021 7: 53 PM R-5: Factoring Polynomials 15

YOUR TURN Factor out 3/8/2021 7: 53 PM R-5: Factoring Polynomials 16

EXAMPLE 6 Factor out 3/8/2021 7: 53 PM R-5: Factoring Polynomials 17

ASSIGNMENT p. 51 #43 -61 odd omit 51 -55 & Worksheet Due: Friday QUIZ

Slides: 18

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WARM-UP Factor out the following: 1. 2. 3. 4. x 3 – 8 3/8/2021 7: 53 PM R-5: Factoring Polynomials 1

ASSIGNMENT QUESTIONS 3/8/2021 7: 53 PM R-5: Factoring Polynomials 2

FACTORING POLYNOMIALS SECTION R-5 Continued 3/8/2021 7: 53 PM R-5: Factoring Polynomials 3

REVIEW OF PERFECT SQUARES Factor: x 2 + 4 x + 4 3/8/2021 7: 53 PM (x + 2)2 R-5: Factoring Polynomials 4

REVIEW OF PERFECT SQUARES Factor: 25 x 2 – 10 x + 1 3/8/2021 7: 53 PM R-5: Factoring Polynomials (5 x – 1)2 5

REVIEW OF SUM/DIFFERENCE OF CUBES Factor: x 3 – 64 3/8/2021 7: 53 PM (x – 4)(x 2 + 4 x + 16) R-5: Factoring Polynomials 6

REVIEW OF SUM/DIFFERENCE OF CUBES Factor: 8 x 3 + 1 3/8/2021 7: 53 PM (2 x + 1)(4 x 2 – 2 x + 1) R-5: Factoring Polynomials 7

FACTORING TRINOMIALS Trinomials have three terms. Remember: Always look for a GCF first! 3/8/2021 7: 53 PM R-5: Factoring Polynomials 8

EXAMPLE 1 Factor 3/8/2021 7: 53 PM R-5: Factoring Polynomials 9

EXAMPLE 2 Factor 3/8/2021 7: 53 PM R-5: Factoring Polynomials 10

YOUR TURN Factor: x 2 + 10 x + 16 (x + 2)(x + 8) 3/8/2021 7: 53 PM R-5: Factoring Polynomials 11

SWING METHOD OF FACTORING Only applies to coefficients of ‘a’ greater than 1 1. Multiply the first and third term; Leave the second term alone 2. Factor the equation out 3. Divide the sums by ‘a’ 4. Reduce ALL FRACTIONS 5. If the answer is a fraction, bring the denominator to the product 3/8/2021 7: 53 PM R-5: Factoring Polynomials 12

EXAMPLE 3 Product Bring out the coefficient Factored Form Sum Divide by ‘a’ Bring denominators of any fractions to the front. Reduce the fractions 3/8/2021 7: 53 PM R-5: Factoring Polynomials 13

EXAMPLE 4 3/8/2021 7: 53 PM R-5: Factoring Polynomials 14

EXAMPLE 5 Factor out 3/8/2021 7: 53 PM R-5: Factoring Polynomials 15

YOUR TURN Factor out 3/8/2021 7: 53 PM R-5: Factoring Polynomials 16

EXAMPLE 6 Factor out 3/8/2021 7: 53 PM R-5: Factoring Polynomials 17

ASSIGNMENT p. 51 #43 -61 odd omit 51 -55 & Worksheet Due: Friday QUIZ Friday 3/8/2021 7: 53 PM R-5: Factoring Polynomials 18