Let p(x) be a real polynomial of degree 3 (s0, p(x)-ax+ bx+ Cx + a for some real numbers a,b.c,d with a0 Suppose that p(2--0 Mark each of the following statements true or false. p(2+-0 plx) is the product of a real linear polynomial and the quadratic polynomial 2- 4x + 5 A False 8. True Some of the roots of p(x) may be multiple roots. p(x) has no real roots.

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 76E
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Let p(x) be a roal polynomial of degree 3 (so. p(x) = ax + bx2+ Cx + a for some real numbers a,b.c,d with a o Suppone that p(2 -A-0
Mark each of the following statements true or false.
p(2 +)=0
p(x) is the product of a real linear polynomial and the quadratic polynomial y2- 4x+5
A False
B. True.
v Some of the roots of p(x) may be multiple roots.
p(x) has no real roots.
Transcribed Image Text:Let p(x) be a roal polynomial of degree 3 (so. p(x) = ax + bx2+ Cx + a for some real numbers a,b.c,d with a o Suppone that p(2 -A-0 Mark each of the following statements true or false. p(2 +)=0 p(x) is the product of a real linear polynomial and the quadratic polynomial y2- 4x+5 A False B. True. v Some of the roots of p(x) may be multiple roots. p(x) has no real roots.
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