MA.912.A.7.2 Solving Quadratic Equations
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Functions
Polynomials
Rationals-Discrete
In Your Text
Sections 8-3 to 8-6
Pages 485-512
Section 9-2 Pages 537-542
Sections 9-4 to 9-5
Pages 552-564
What You Need To Know...
Solve quadratic equations over the real numbers by factoring and by using the quadratic formula.
- The benchmark will be assessed with MC (Multiple Choice) and FR (Fill in Response) items.
- Items may assess special forms like the difference of squares and perfect square trinomials.
- Items may assess the use of the zero product property of real numbers.
- Fill-in response items may ask the student to provide the greater (or lesser) of two solutions explicitly or implicitly.
- MC options may be given using set notation.
Example One
Jeannie solved the quadratic equation shown below by factoring.
x2 + 2x – 8 = 0
Which of the following shows a step in solving the equation shown?
A. (x + 2)(x + 4) = 0
B. (x + 2)(x – 4) = 0
C. (x – 2)(x + 4) = 0
D. (x – 2)(x – 4) = 0
Example Two
A ball is kicked from ground level into the air. Its height, y, in feet, after x seconds can be represented by the equation y = 40x - 16x2. What is the total elapsed time, in seconds, from the time the ball is kicked until it reaches ground level again?
Additional Examples
Solve by Factoring
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The Quadratic Formula
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Real-World Settings
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Reference Sheet
