Today’s entrance ticket… Factor! Be sure to ask any questions before the quiz!! You should have studied last night and be prepared today!

Homework Answers 1)(x – 10)(x – 8)2) (x 2 + 1)(5y – 1) 3) 3(y – 2)(y – 3)4) (a 2 + b 2 )(a – b) 5) x 2 (x – 8)(x – 7)6) (k – 4)(k – 4) or (k – 4) 2 7) 2(z – 3)(z – 3) or 2(z – 3) 2 8) (c 3 – 12)(c + 1)9) 25(y – 2)(y + 2)

Concept Summary: Polynomial Factoring Techniques

Put everything away except for your calculator and a pencil. QUIZ TIME! Remember the HUSKY HONOR CODE that you signed!!

Warm up Factor Completely 1)5x 2 – 13x + 6 2)x 2 – 9y 2 3) y 2 + 2y – 48 Solve… 4) 2(x – 5) + 5x = 3 – 6x

Solving Quadratic Equations by Factoring

To solve a quadratic eqn. by factoring, you must remember your factoring patterns!

Zero Product Property Let A and B be real numbers or algebraic expressions. If AB=0, then A=0 or B=0. This means that If the product of 2 factors is zero, then at least one of the 2 factors had to be zero itself! The zeros of an equation are the solutions/roots/x- intercepts. First, set equal or zero, or if it is an equation in standard form then change y to a 0. Now, solve for x. The solutions will be the zeros of the equation. Solving or Finding the Zeros of an equation

Example: Solve. x 2 +3x-18=0

Example: Solve. 2t 2 -17t+45=3t-5

Example: Solve. 3x-6=x 2 -10

Example: Find the Zeros of y=x 2 -x-6 If you were to graph the eqn., the graph would cross the x-axis at (-2,0) and (3,0).

You Try! Solve: {3/2, 5} {0, 1/2}

HOMEWORK 1-3 ****************************** TUTORIALS ALL HUSKY HELP TIMES TUESDAY AFTERNOON 2:30-3:30 Homework

Solve by Graphing Solve: x 2 – 5x + 2 = 0 1. Graph in your calculator. 2. Use the CALC feature to find the two zeros of the function. You try: