Consider the polynomial p(x) = 2x² + 3x. (a) Evaluate p(2) and p(5). (b) The polynomial p may be factored as follows: p(x) = x(2x + 3). Use this information to write the numbers p(2) and p(5) as the products of two integers.

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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Consider the polynomial p(x) = 2x² + 3x.
(a) Evaluate p(2) and p(5).
(b) The polynomial p may be factored as follows: p(x) = x(2x +3).
Use this information to write the numbers p(2) and p(5) as the products
of two integers.
2.
Transcribed Image Text:Consider the polynomial p(x) = 2x² + 3x. (a) Evaluate p(2) and p(5). (b) The polynomial p may be factored as follows: p(x) = x(2x +3). Use this information to write the numbers p(2) and p(5) as the products of two integers. 2.
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