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  1. 17 Determine the quotient and remainder when (6a3 11a2 4a 9) is divided by (3a 2). r(a) Express your answer in the form q(a) d(a). 18 Given f(x) 3x3 4x2 2x 1 and g(x) x 4, f(x) state the quotient and remainder of , in the g(x) r(x) form q(x) . Is x 4 a root of f(x)? Explain g(x) your answer.

  2. Regents Exam Questions A.APR.D.6: Rational Expressions 1 Name: _____ www.jmap.org 1 A.APR.D.6: Rational Expressions 1 1 Which expression represents 12x3 6x2 2x 2x in simplest form? 1) 6x2 3x 2) 10x2 4x 3) 6x2 3x 1 4) 10x2 4x 1 2 The expression 9x4 27x6 3x3 is equivalent to 1) 3x(1 3x) 2) 3x(1 3x2) 3) 3x(1 9x5)

  3. Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.

  4. EE - Expressions and Equations. Apply and extend previous understandings of arithmetic to algebraic expressions. MGSE6.EE.1 Write and evaluate numerical expressions involving whole-number exponents. MGSE6.EE.2 Write, read, and evaluate expressions in which letters stand for numbers.

  5. rational expressions and use their skill in factoring to identify values of variables for which the denominator would be zero. Students extend another idea to rational expressions, simplifying fractions, by finding common factors in the numerator and denominator, and replac-ing the quotient of those factors with 1. As another

  6. Table of Contents Complementary Angles Algebraic Expressions Algebra Practice Problems Greater Than or Less Than? Comparing Fractions Adding Exponents

  7. There are 2 rational expressions, P/Q and R/S, where Q = x2 – 16, R = x + 2, and S = x 2 – x – 12. If P/Q 2+ R/S = A/B, where A = 6x + 19x + 2, determine an expression for P.