# HW8 - MAP 103 Proﬁciency Algebra Homework#8 DUE THURSDAY 3x5 9x3 12x 18 3x − 1 1 Find the quotient and remainder(if any upon long division 2 1

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Unformatted text preview: MAP 103: Proﬁciency Algebra Homework #8 DUE: THURSDAY, OCTOBER 29, 2009 3x5 + 9x3 + 12x + 18 . 3x − 1 1. Find the quotient and remainder (if any) upon long division: 2 1 + = 2. x x−1 2. Solve for x in the rational expression: 3. Simplify the following radical expressions that involve numbers. Rationalize denominators if needed and use fractional exponents if it makes simpliﬁcation more apparent. √ √ (a) √2 + 3 2 √ 7 (b) √5 + √ (c) 20 + 50 (d) 41/2 + 82/3 + 70 2 3 (e) √3 + √2 (f) 1√ 1+2 3 4. Simplify the following radical expressions that involve variables and exponents. Rational denominators if needed and use fractional exponents if it makes simpliﬁcation more apparent. √ √ (a) x + x2 (b) 3x1/4 + 5x2/3 (c) 100x2 y 2 + 3 27x3 y (d) √ 8x5 y 3 + 8x6 y 4 √ (e) 5x3 · 6x4 (f) x2 3y 2 5. Simplify the following complex fractions. x−2 + y −3 (a) −1 x − (2y )−2 1 2 1+x + 2+x (b) 2 3 x+y 6. For the rational functions below, state the domain. x (a) f (x) = 1+x 1 (b) g (x) = 2 2x + 8x + 8 7. A polynomial of degree 4 has the roots x = 1, x = −1, x = 2, and x = −3. Find the equation for the polynomial. 8. Factor using substitution the polynomial expression (a + 2)3 − (a + 2)2 . 9. Factor using grouping the polynomial expression 1 + x2 + y 2 + x2 y 2 . 10. Factor the polynomial 4x2 − 12x + 8 = 0. What are the roots? ...
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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.

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