6'8 Solving Equations by Factoring

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6.8Solving Equations by Factoring

• Standard 14.0 Solve a quadratic equation by
  factoring

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The Principle of Zero Products(Rule 6)

• For any rational numbers a and b, if ab 0, then
  a 0 or b 0, and if a 0 or b 0, then ab
  0.

3
Setting Each Factor to 0

• If we have an equation with 0 on one side and a
  factorization on the other, set each factor equal
  to zero and solve both equations.

4
1 Solve using the principle of zero products
5
2 Solve using the principle of zero products
6
3 Solve using the principle of zero products
7
4 Solve using the principle of zero products
8
4 Solve using the principle of zero products
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Factoring and Solving Equations

• Get zero on one side of the equation using the
  addition property.
• Factor the expression on one side of the
  equation.
• Set each factor equal to zero.
• Solve each equation.

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5 Solve.
Factor using x2 bx c
12
4
3
7
11
5 Solve.
12
6 Solve.
Factor using x2 bx c
2
2
1
3
13
6 Solve.
14
7 Solve.
Factor the difference of two squares.
15
7 Solve.
16
8 Solve.
Factor using ax2 bx c
-15
-15
-15
1
-15
1
-14
17
8 Solve.