Download Lesson 5 Day 2 The Zero Product Property.notebook

Lesson 5 Day 2 The Zero Product Property.notebook
DO NOW­Factor
December 08, 2016
Homework Answers
4) 9x ­ 25
6
1) x2 ­ 49x
1) {0, 8}
2) {­5, 3}
2) x2 ­ 5x ­ 6
3) {7, 8}
5) 4x2 + 25x4
4) {­1/7, 1/7}
5) {­4, 4}
3) 3x2 + 6x ­ 72
6) 2x2 ­ 98
The Zero Product Property
Day 2
Standard:
A.SSE.2 A.CED.1
Procedure to Solve Quadratic Equations:
1) Set equation = 0
2) Factor completely
3) Set each factor=0 in a "T" chart.
6) {­2, 0, 3}
Quadratic equation: polynomial equation of
degree 2
Standard form: ax2 + bx + c = 0
(where a, b, and c are real numbers
and a≠0)
Quadratic equations can be solved by
factoring. Equation must be = 0 before it
can be solved!
Solve for x:
x2 - x - 6 = 0
1. Factor completely (x + 2) (x - 3) = 0
2. Set each factor=0 (x + 2) (x - 3) = 0
in "T" chart.
x+2=0 x-3=0
-2 -2
+3 +3
3. Solve each equation
x = -2
x=3
4) Solve each equation in the chart.
5) Write solution in braces { }.
(called roots)
4. List solution
{-2, 3}
6) Check each solution.
1
Lesson 5 Day 2 The Zero Product Property.notebook
6. Check
Solve for x:
Rewrite
original
equation
x2 - x - 6 = 0
x = -2
x=3
?
?
2
(-2)2-(-2)-6 = 0 (3) -(3)-6 = 0
?
?
Substitute
4+2-6=0 9-3-6=0
0≡0
0≡0
Solve
1) x2 + 3x = 0
2) x2 + 6x + 8 = 0
3) x2 - 36 = 0
4) 3c2 - 3c - 36 = 0
5) x2 + 2x = -1
December 08, 2016
2
Lesson 5 Day 2 The Zero Product Property.notebook
6) x2 = 100
7) 2z2 - 8z = 24
8) 6x2 = 24
9) 3x2 = 27
10) 84 - 16x = 4x2
11) x(x + 3) = 40
December 08, 2016
3
Lesson 5 Day 2 The Zero Product Property.notebook
December 08, 2016
12) 5x(x +5) = -30
Homework
Worksheet
4