Pre-Calculus Sec 1.3 Algebraic Expression Objectives: To use special product formulas to factor expressions by finding common factors & recognizing special.

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Presentation transcript:

Pre-Calculus Sec 1.3 Algebraic Expression Objectives: To use special product formulas to factor expressions by finding common factors & recognizing special cases. To factor quadratics.

Class Work Simplify. 1.(x 3 – 6x 2 + 2x + 4) + (x 3 + 5x 2 – 7x) 2x 3 – x 2 – 5x (x 3 – 6x 2 + 2x + 4) - (x 3 + 5x 2 – 7x) –11x 2 + 9x (x 2 – 3)(x 3 + 2x + 1)

Special Product Formulas If A and B are real numbers or algebraic expressions then, 1) 2) 3) 4) 5)

Ex 1. Use special product formulas to find each product. (a) (3x + 5) 2 (b) (x 2 – 2) 3 (c) (2x – )(2x + )

Class Work Use special product formulas to find the products

Factoring. Factoring an expression - writing that expression as a product of simpler ones.

Factoring out a GCF Ex 2. Factor each expression. (a)3x 2 – 6x (b)8x 4 y 2 + 6x 3 y 3 – 2xy 4 (c)(2x + 4)(x – 3) – 5(x – 3)

Factoring x 2 + bx + c. Ex 3. Factor each expression. a)x 2 + 7x + 12 b) x 2 + x – 6 c)x 2 – 2x – 3

Class Work Factor x 2 + 4x – x 2 - 4x – 45

Factor ax 2 + bx + c. Ex. 4 Factor. a)6x 2 + 7x – 5 b)8x x +3 c)6x x – 5

Special Factoring Formulas 1)Difference of Squares: 2)Perfect Square: 3)Difference of Cubes: 4)Sum of Cubes:

Ex 5 Factor each expression. a)4x 2 – 25 b)x 3 + 8

Class Work Factor. 9.5x 2 – 9x – x 2 – 25x x 3 – x 2 – 64

Factoring by Grouping Ex 6. Factor by grouping. (a)x 3 + x 2 +4x + 4 (b) x 3 – 2x 2 – 3x + 6

HW #3 p odd, mult of 3, omit 69