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R.4 Factoring Mon Sept 8 Do Now Factor the following expressions 1) 2)

HW Review: p.7 #11-27 69-77 11) [-3, 3]69) 11 13) [-4, -1)71) 6 15) (-infinity, -2]73) 5.4 17) (3.8, infinity)75) 21/8 19) (7, infinity)77) 7 21) (0, 5) 23) [-9, -4) 25) [x, x+h] 27) (p, infinity)

Factoring In Algebra 2, we learned many methods of factoring polynomials including: Factor by removing a common factor Factor by grouping Factor trinomials of the type ax^2 + bx + c Factor special products of polynomials

Terms with Common Factors Always look for common factors before trying any other method Ex: 1)2)

Factoring by grouping In some polynomials, pairs of terms can first be grouped and factored Ex:

Trinomials of the type x^2 + bx + c When trinomials have this form (mostly quadratics), they can be factored into two linear factors We look for factors of C that add up to B Ex:

Trinomials of the type ax^2 + bx + c 1) Multiply a x c 2) Find factors of AC that add up to B, and break up Bx into those 2 factors 3) Factor by grouping EX:

Special Factorizations Squared Binomials Difference of squares Sum of cubes Difference of cubes

Ex Factor 1) 2)

Closure Describe how to use one factoring method. What is the ‘trick’? HW: p.29 (all odds) #1-7, 9-15, 19-31, 35-41, 47 49, 63 65, 67 71

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