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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.
 Fall '08
 WILLIAMSON
 Math, Calculus, Algebra

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