1300_F2011_Sec_44-filled

1300_F2011_Sec_44-filled - Math 1300 Section 4.4 1 Solving...

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Unformatted text preview: Math 1300 Section 4.4 1 Solving Equations by Factoring Definition: The zero-product property says that if a and b are numbers and if ab = 0, then a = 0 or b = 0 (or both). Definition: A quadratic equation is an equation that can be written ax 2 + bx + c = 0, where a , b , and c are numbers and a ≠ 0. Solving Quadratic Equations To solve a quadratic equation, we must find all possible values for x that make ax 2 + bx + c = 0. Factoring is usually a helpful way to solve quadratic equations. To use factoring, move all nonzero terms to one side of the equal sign so that the other side is zero. Then use the zero-product property. Example 1: Solve for x : x 2 – 5 x – 24 = 0. Example 2: Solve for x : x 2 – x – 6 = 0. Example 3: Solve for x : x 2 – 3 x – 10 = 0. Math 1300 Section 4.4 2 Example 4: Solve for x : x 2 + 3 x = 4. Example 5: Solve for x : x 2 – 16 = 0. Example 6: Solve for x : 4 x 2 – 25 = 0....
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This note was uploaded on 02/22/2012 for the course MATH 1300 taught by Professor Staff during the Spring '08 term at University of Houston.

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1300_F2011_Sec_44-filled - Math 1300 Section 4.4 1 Solving...

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