Today’s entrance ticket… Factor!

2

2

2

2

2

2

1) 2 9 10

2) -4 2 30

3) -7 175

4) -10 21

5) 2 3 15

6) 5 20

x x

x x

x

x x

x x

x

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) (x2 + 1)(5y – 1)

3) 3(y – 2)(y – 3) 4) (a2 + b2)(a – b)

5) x2(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) (c3 – 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)5x2 – 13x + 6

2)x2 – 9y2 3) y2 + 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.x2+3x-18=0

Example: Solve.2t2-17t+45=3t-5

Example: Solve.3x-6=x2-10

Example: Find the Zeros ofy=x2-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 ******************************

TUTORIALSALL HUSKY HELP TIMES

TUESDAY AFTERNOON2:30-3:30

Homework

Solve by GraphingSolve: x2 – 5x + 2 = 01. Graph in your calculator.2. Use the CALC feature to find thetwo zeros of the function.

You try:2

2

a. x +6x+4=0

b. 3x +5x- 12=8