1. 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.

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

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

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

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

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

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

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

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

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

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

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