Pre-Calculus Sec 1.3 Algebraic Expression

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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. (x3 – 6x2 + 2x + 4) + (x3 + 5x2 – 7x)

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

Ex 1. Use special product formulas to find each product. (2x – )(2x + )

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

Factoring out a GCF Ex 2. Factor each expression. 3x2 – 6x 8x4y2 + 6x3y3 – 2xy4 (2x + 4)(x – 3) – 5(x – 3)

Factoring x2 + bx + c. Ex 3. Factor each expression. x2 + 7x + 12 x2 + x – 6 x2 – 2x – 3

Class Work Factor. 6. 7. x2 + 4x – 21 8. x2 - 4x – 45

Factor ax2 + bx + c . Ex. 4 Factor. 6x2 + 7x – 5 8x2 + 11x +3 6x2 + 13x – 5

Special Factoring Formulas Difference of Squares: Perfect Square: Difference of Cubes: Sum of Cubes:

Class Work Factor. 5x2 – 9x – 2 4x2 – 25x + 6 27x3 – 1 49x2 – 64

Factoring by Grouping Ex 6. Factor by grouping. x3 + x2 +4x + 4 Last One