XII. Given two polynomials: A(x) = 12x3 - 4x2 - 3x +1 B(x) = (3x – 1)(5x – 2) – (9x² – 6x + 1) 1) Develop and reduce B(x). 2) Factorize A(x) and B(x). 3) Find the roots of B(x) and solve A(x) = 0. 12x3-4x2-3x+1 %3D %3D - - %3D 4) Let F(x) = %3D 6x2-5x+1 a) For what values of x, F(x) is defined? b) Simplify F(x), then solve F(x) = -1. c) Calculate F(V2).

XII. Given two polynomials: A(x) = 12x3 - 4x2 - 3x +1 B(x) = (3x – 1)(5x – 2) – (9x² – 6x + 1) 1) Develop and reduce B(x). 2) Factorize A(x) and B(x). 3) Find the roots of B(x) and solve A(x) = 0. 12x3-4x2-3x+1 %3D %3D - - %3D 4) Let F(x) = %3D 6x2-5x+1 a) For what values of x, F(x) is defined? b) Simplify F(x), then solve F(x) = -1. c) Calculate F(V2).

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.3: Dividing Polynomials

Problem 1E: If we divide the polynomial P by the factor xc and we obtain the equation P(x)=(xc)Q(x)+R(x) , then...

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If we divide the polynomial P by the factor xc and we obtain the equation P(x)=(xc)Q(x)+R(x) , then we say that xc is the divisor, Q(x) is the ______, and R(x) is _______.
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