Factoring to Solve Quadratic Equations

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Factoring to Solve Quadratic Equations
ALGEBRA 1 LESSON 10-5
(For help, go to Lessons 2-2 and 9-6.)
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Factoring to Solve Quadratic Equations
ALGEBRA 1 LESSON 10-5
Solutions
1. 6 4n 2 4n 4 n
1 Check 6 4(1) 6 (4) 2 2. 9
4 13 a 104 Check
9 13 9 4 3. 7q 16 3
7q 19 q 2 Check 7 (2
) 16 7( ) 16 19 16 3
a 8
a 8
104 8
5 7
19 7
5 7
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Factoring to Solve Quadratic Equations
ALGEBRA 1 LESSON 10-5
Solutions (continued)
4. 2c2 29c 14 (2c 1)(c 14) Check (2c
1)(c 14) 2c2 28c c 14 2c2 29c
14 5. 3p2 32p 20 (3p 2)(p 10) Check
(3p 2)(p 10) 3p2 30p 2p 20 3p2
32p 20 6. 4x2 21x 18 (4x 3)(x
6) Check (4x 3)(x 6) 4x2 24x 3x 18
4x2 21x 18
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Factoring to Solve Quadratic Equations
ALGEBRA 1 LESSON 10-5
Solve (2x 3)(x 4) 0 by using the Zero
Product Property.
(2x 3)(x 4) 0
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Factoring to Solve Quadratic Equations
ALGEBRA 1 LESSON 10-5
Solve x2 x 42 0 by factoring.
x2 x 42 0
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Factoring to Solve Quadratic Equations
ALGEBRA 1 LESSON 10-5
Solve 3x2 2x 21 by factoring.
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Factoring to Solve Quadratic Equations
ALGEBRA 1 LESSON 10-5
1. Solve (2x 3)(x 2) 0. Solve by
factoring. 2. 6 a2 5a 3. 12x 4
9x2 4. 4y2 25
1, 6
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