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Unformatted text preview: MAP 103: Proficiency Algebra Homework #6 DUE: THURSDAY, OCTOBER 15, 2009 1. Let three polynomials be f ( x ) = x 2 + 3 x + 2 ,g ( x ) = 4 x + 3 , and h ( x ) = 3 x 3 + 2 x 2 + 1 . (a) Find f + g (b) Find g- h (c) Find fh (d) Find the degree of the polynomials f,g, and h. 2. Consider a rectangle so that the dimensions are as follows. The length of the shorter side is x + 2 , while the length of the longer side is 2 x +4 . Find an expression that gives the area of the rectangle, A, as a function of x. What is the area when x = 1? 3. Factor the following polynomials using the Trial and Error method discussed in class. (a) x 2 + 7 x + 12 (b) 6 x 2 + 5 x + 1 (c) 1 4 x 2- 1 (d) 2 x 2- 9 x- 5 4. (a) A degree one polynomial has the form p ( x ) = ax + b. Suppose that a root of p ( x ) is p (2) = 0 and on the graph of p ( x ) it has a y-intercept so that p (0) = 1 . What is the equation for p ( x )?...
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This note was uploaded on 04/18/2010 for the course MAP 103 taught by Professor Staff during the Fall '08 term at SUNY Stony Brook.
- Fall '08