(a) Evaluate 12x + 3x3 – 5x² + 7x – 8 at x = -1 (c) One can represent polynomials using nested multiplications, that is successively taking x as a common factor in the remaining polynomials of decreasing degrees, for example 3x + 2x? + 5x +4 = x(x(3x + 2) + 5) + 4. Represent the given polynomial given in (a) using nested multiplications and briefly explain the con- nection between the presented algorithm and this representation.
(a) Evaluate 12x + 3x3 – 5x² + 7x – 8 at x = -1 (c) One can represent polynomials using nested multiplications, that is successively taking x as a common factor in the remaining polynomials of decreasing degrees, for example 3x + 2x? + 5x +4 = x(x(3x + 2) + 5) + 4. Represent the given polynomial given in (a) using nested multiplications and briefly explain the con- nection between the presented algorithm and this representation.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.3: Dividing Polynomials
Problem 76E: DISCOVER: Nested Form of a Polynomial Expand Q to prove that the polynomials P and Q are the same....
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