Quadratic Equations: Understanding x-Intercepts and Factoring
Learn about x-intercepts in quadratic equations and how to find them through factoring. Explore examples and solve quadratic equations graphically for a better understanding.
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Presentation Transcript
Warm Up Factor: X2- 8x - 48 Factor: 4X2+ 12x + 9
What does x-intercept mean? Find the x-intercepts of the graph What is the y-value of these intercepts? **Remember: x-intercepts are also called the solutions to the quadratic
Solve by graphing (in your calc) + 2 16 64 x x 1. + x 2 3 2 5 x 2. a + 2 10 9 2 a 3. 2 2 3 10 r rs s 4.
Factoring a quadratic is a way of finding the x-intercepts, or solutions. Since we know the x-intercepts have a y- value = ZERO, we can Set the whole equation equal to ZERO FACTOR Set individual factors = ZERO SOLVE for x in each factor
Example 1: SOLVE: X2 + 3x + 2
Example 2: SOLVE: 2X2 + 3x - 2
Example 3: SOLVE: 3n2 + 9n + 18
Example 4: SOLVE: X2 - 8x - 48
Example 5: SOLVE: 4X2 + 12x + 9
