SOLVING QUADRATIC EQUATIONSFactoring Method

Warm Up

Factor the following.

1. x2 – 4x – 45

2. x2 + 2x – 48

3. 2x2 -28x + 48

Zero – Product Property

If A and B are expressions and AB = 0, then A = 0 or B = 0.

(If the product of two expressions is zero, then on or both of the expressions equal zero.)

Example #1

Solve the following by factoring

x2 – 2x – 3 = 0

Example #2

Solve the following by factoring

3x2 – 5x = 2

Quadratic Solutions

In Quadratic Functions*x-intercepts*solutions*zeros of the function

Are all looking for the same thing– what value of x will give you a y = 0

Example #3

Find the zeros of

f(x) = x2 – 8x

Example #4

Find the zeros of

f(x) = 4x2 + 28x + 49

Try These

Solve the following by factoring1. x2 + 5x + 6 = 0

2. -4x2 + 6x – 16 = 5x2

Find the zeros of the following functions.

3. f(x) = 3x2 – 8x – 16

4. f(x) = x2 – 7x + 12