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Unformatted text preview: MAP 103: Exam II, Questions from ยงยงยง : 5.6, 5.7, 5.8 1. Factorize completely: (a) p ( x ) = 2 x 2- 8 (b) q ( x ) = 3 x 3- 81 2. Consider two polynomials f ( x ) = x 2 + 3 x + 2 and g ( x ) = 3 x 2 + 9 x + 6 . Show that the poly- nomials f ( x ) and g ( x ) have the same roots. ( Hint : Consider the GCF (Greatest Common Factor) of g ( x ) . ) 3. A degree two polynomial, p ( x ) , has roots x =- 4 and x = 6 . Find the equation for p ( x ) . Your answer should be in the form p ( x ) = ax 2 + bx + c. 4. A triangle has area 12 . If the base has length x + 1 and the height has length is x + 6 , find the measurements of the triangle. Check your solution. 5. A quadratic function has the form p ( x ) = ax 2 + bx + c. Suppose that p (2) = 0 ,p (- 2) = 0 and p (0) =- 4 . Find the values of a,b, and c and write the equation for p ( x ) . Solutions 1. Factorize completely: (a) p ( x ) = 2 x 2- 8 Sol....
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- Fall '08
- Quadratic equation, Elementary algebra