How do I solve by factoring?

Set equal to zero, factor, then set each factor equal to zero and solve.

Why must it equal zero?

The zero-product property: if A × B = 0, then A = 0 or B = 0. Only works when one side is zero.

Use the quadratic formula: x = (−b ± √(b² − 4ac)) / (2a).

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Name:Date:Class:

1.Solve:

x^{2} - 15 x + 54 = 0

2.Solve:

x^{2} - 2 x - 15 = 0

3.Solve:

x^{2} + 10 x + 25 = 0

4.Solve:

x^{2} + 10 x + 16 = 0

5.Solve:

x^{2} + x - 20 = 0

6.Solve:

x^{2} - 12 x + 32 = 0

7.Solve:

x^{2} - 16 x + 63 = 0

8.Solve:

x^{2} - 12 x + 27 = 0

9.Solve:

x^{2} + 5 x - 36 = 0

10.Solve:

x^{2} + 3 x = 0

11.Solve:

x^{2} + 8 x = 0

12.Solve:

x^{2} + 5 x - 14 = 0

13.Solve:

x^{2} - 9 x + 14 = 0

14.Solve:

x^{2} + 6 x + 8 = 0

15.Solve:

x^{2} + 3 x - 54 = 0

16.Solve:

x^{2} - 5 x + 4 = 0

17.Solve:

x^{2} + 14 x + 48 = 0

18.Solve:

x^{2} - 25 = 0

19.Solve:

x^{2} - 3 x + 2 = 0

20.Solve:

x^{2} + 2 x - 48 = 0

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Problem: Solve: x² + 3x − 10 = 0

Find numbers multiplying to −10 adding to 3: 5 and −2— 5 × (−2) = −10, 5 + (−2) = 3.
(x + 5)(x − 2) = 0— Factor.
x = −5 or x = 2— Set each factor to zero.

Answer: x = −5 or x = 2