Unit 9B Quadratics Part 2 ­ Day 1
Take out your green packet and
Fill in Dates
Mon 3/27
Tues 3/28
Wed 3/29
Thurs 3/30
Fri 3/31
Mon 4/3
Day 1: Factored Form and Zero
Product Property
I can:
1. Explain the difference between
standard, factored and vertex form.
2. Use the zero product property to solve
3. Write an equation in factored form to
find the x­intercepts (roots, zeros)
Unit 9B Quadratics Part 2 ­ Day 1
3 Forms of a Quadratic
Standard:
Vertex:
y = ax2 + bx + c y = a(x ­ h)2 + k
***Factored:
y = a(x ­ r1)(x ­ r2)
What are the zeros of this graph?
Unit 9B Quadratics Part 2 ­ Day 1
This is the Factored Form of the parabola.
(x ­ 4)(x + 3) = 0 What do you notice about the zeros and the
equation?
What are the zeros of this graph?
What do you think the equation is?
Unit 9B Quadratics Part 2 ­ Day 1
What are the zeros of this graph?
What do you think the equation is?
What are the zeros of this graph?
What do you think the equation is?
Unit 9B Quadratics Part 2 ­ Day 1
Zero Product Property
If the product of two quantities equal zero, at least
one of the quantities equals zero.
Ex 1) (x)(x + 4) = 0
Zeros: Ex 2) (x - 2)(x + 3) = 0
Zeros: Ex 3) (x + 5)(x + 5) = 0
Zeros: Ex 4) (x - 1)(2x + 1) = 0
Zeros: Ex 5) (3x - 2)(2x -1) = 0
Zeros: Unit 9B Quadratics Part 2 ­ Day 1
BREAK!!
SOLVING QUADRATIC EQUATIONS BY
FACTORING
Let's Put this all together with what you know
about factoring!!!
2
1. Factor
2. Use the zero product property to solve
3. Mentally check your answer x ­ 4x + 3 = 0 Example 2
2
x + 8x + 16 = 0 1. Factor
2. Use the zero product property to solve
3. Mentally check your answer Unit 9B Quadratics Part 2 ­ Day 1
Example 3
2 x + 2x = 8
1. Factor
2. Use the zero product property to solve
3. Mentally check your answer Example 4
3x2 ­ 4x + 1 = 0
1. Factor
2. Use the zero product property to solve
3. Mentally check your answer Unit 9B Quadratics Part 2 ­ Day 1
Example 5:
2 3x ­ 2x ­ 1 = 0
1. Factor
2. Use the zero product property to solve
3. Mentally check your answer Practice Assignment #1
Pg. 653 #1-19 odd, 33-39, 47-49
Homework: Video #2