Answered: Consider the polynomial, p = 6x² +23x³…

Consider the polynomial, p = 6x² +23x³ + 25x² – 9x − 5. Apply the polynomial division algorithm to divide p by x²+4x+5. Hence, find all solutions to the equation, p(x) = 0.

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 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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Question

Consider the polynomial,
p = 6x² + 23x³ + 25x² – 9x − 5.
Apply the polynomial division algorithm to divide p by x²+4x+5. Hence, find all solutions
to the equation,
p(x) = 0.

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