Give an expression for f(x) of degree 3 with roots x = 8,x=-2-i, and x = -2+i. • Your final answer should not contain any i's. f(x) = is a polynomial of degree 3 with the given roots..

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Notice how the imaginary terms cancel out, leaving only real
One more thing to note when working with the quadratic formula and a negative discriminant: the i can only co
when the discriminant is negative, we get two complex roots whose imaginary part only differs by + or -as fe
are called conjugates.
In our example above, we saw the conjugates: 1+ 3i and 1-3i.
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9
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Practice
Give an expression for f(x) of degree 3 with roots = 8,x=-2-1, and x = -2+i.
. Your final answer should not contain any i's.
f(x) = is a polynomial of degree 3 with the given roots.
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Transcribed Image Text:esc Notice how the imaginary terms cancel out, leaving only real One more thing to note when working with the quadratic formula and a negative discriminant: the i can only co when the discriminant is negative, we get two complex roots whose imaginary part only differs by + or -as fe are called conjugates. In our example above, we saw the conjugates: 1+ 3i and 1-3i. ! 1 9 a Practice Give an expression for f(x) of degree 3 with roots = 8,x=-2-1, and x = -2+i. . Your final answer should not contain any i's. f(x) = is a polynomial of degree 3 with the given roots. ← Preview My Answers You have attempted this problem 1 time. Your overall recorded score is 0%. You have unlimited attempts remaining. Ask For Help @ 2 W S #m 3 Submit Answers e d C с $ 4 f % 5 t A 6 6 y & 7 O h u * 00 8 j 9
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