Give an example of a polynomial of degree 5 with roots -2 and -i.

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
Section: Chapter Questions
Problem 2CC: (a) Give the general form of polynomial function P of degree n. (b) What does it mean to say that c...
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Pre-Calc HW: Show work for following problems
1. Give an example of a polynomial of degree 5 with roots -2 and -i.
2. Use the Rational Root Theorem to find all possible rational roots, then continue on to find all the roots:
f(x) = x³ + 3r2 – x – 3.
3. Find the vertex, axis of symmetry, max or min, concavity, intercepts, and sketch the graph of
a) f(x) = 2x? - 8x + 10
b) f(x) = -(x + 1)² – 4
Transcribed Image Text:1. Give an example of a polynomial of degree 5 with roots -2 and -i. 2. Use the Rational Root Theorem to find all possible rational roots, then continue on to find all the roots: f(x) = x³ + 3r2 – x – 3. 3. Find the vertex, axis of symmetry, max or min, concavity, intercepts, and sketch the graph of a) f(x) = 2x? - 8x + 10 b) f(x) = -(x + 1)² – 4
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