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WARM-UPFactor out the following:

1.

2.

3.

4. x3 – 8

4 3 2 225 15 10x y x y x y

2 64x

2 64x

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ASSIGNMENT QUESTIONS

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SECTION R-5 Continued

FACTORING POLYNOMIALSFACTORING POLYNOMIALS

REVIEW OF PERFECT SQUARESFactor: x2 + 4x + 4

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(x + 2)2

REVIEW OF PERFECT SQUARESFactor: 25x2 – 10x + 1

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(5x – 1)2

REVIEW OF SUM/DIFFERENCE OF CUBES

Factor: x3 – 64

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(x – 4)(x2 + 4x + 16)

REVIEW OF SUM/DIFFERENCE OF CUBES

Factor: 8x3 + 1

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(2x + 1)(4x2 – 2x + 1)

FACTORING TRINOMIALSTrinomials have three terms.

Remember: Always look for a GCF first!

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EXAMPLE 1Factor 2 5 6.x x

( 2)( 3)x x 04/20/23 03:04 9

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EXAMPLE 2Factor 2 3 28x x

( 7)( 4)x x 04/20/23 03:04 10

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YOUR TURNFactor:

x2 + 10x + 16

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(x + 2)(x + 8)

SWING METHOD OF FACTORINGOnly applies to coefficients of ‘a’ greater

than 11. Multiply the first and third term; Leave

the second term alone2. Factor the equation out3. Divide the sums by ‘a’4. Reduce ALL FRACTIONS5. If the answer is a fraction, bring the

denominator to the product

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EXAMPLE 3

22 5 2x x 2 5 4x x

( 1)( 4)x x 1 4

( )( )2 2

x x Divide by ‘a’

Bring out the coefficient

Factored Form

Product

Sum

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Reduce the fractions

Bring denominators of any fractions to the front.

(2 1)( 2)x x

EXAMPLE 424 19 12x x

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(4 3)( 4)x x

Factor out

EXAMPLE 5

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Factor out 26 7 49x x

(2 7)(3 7)x x

YOUR TURN

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Factor out 215 11 2x x

(3 1)(5 3)x x

EXAMPLE 6

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ASSIGNMENT

p. 51 #43-61 odd omit 51-55 & WorksheetDue: FridayQUIZ Friday