quiz 3A sol - Solutions to Quiz 3A...

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Unformatted text preview: Solutions to Quiz 3A www.math.ufl.edu/˜harringt September 12, 2007 1. (3 pts) 4x4 − 2x2 + 3x + 4 divided by x2 + x + 1 4x2 − 4x − 2 x2 + x + 1) 4x4 − 2x2 + 3x + 4 − 4x4 − 4x3 − 4x2 − 4x3 − 6x2 + 3x 4x3 + 4x2 + 4x − 2x2 + 7x + 4 2x2 + 2x + 2 9x + 6 Quotient: 4x2 − 4x − 2 Remainder: 9x + 6 x 2. (2 pts) Find the domain of x2+11 . (Your answer must be in interval − notation.) Since we can never divide by zero, then x2 − 1 = 0 so (x − 1)(x +1) = 0. Thus, we have, x = 1 and x = −1. So D = (−∞, −1) ∪ (−1, 1) ∪ (1, ∞). NOTE: We need to find the restrictions BEFORE we reduce. 1 ...
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This note was uploaded on 07/12/2011 for the course MAC 1140 taught by Professor Williamson during the Fall '08 term at University of Florida.

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