1. A polynomial equation has roots at x tl and x = 2i. What is the minimum degree of the polynomial equation? (assuming all coefficients are real) a. 6 b. 5 с. 4 d. 3 2. Consider the graph of f(x) = 2r +4x – 5x - 5x+6 shown at the right. How many zeros of the function must be imaginary? 3 5 4 -21 3 a. 0 b. 1 с. d. 3. 3\ 3. Write the polynomial function of least degree that has zeros of x = 2 and x 3i. (assume all coefficients must be real) f(x) = x'-2r + 9x - 18 b. f(x) =x- 3ix-2x-6 f(x) =x'+2x² +9x + 18 a. с. d. f(x) =x-6r-6 fix) 2x+4x-5x-5x+ 6

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
Section3.2: Polynomial Functinos And Their Graphs
Problem 4E: Which of the following statements couldn't possibly be true about the polynomial function P? (a) P...
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1. A polynomial equation has roots at x =tl and x 2i. What is the minimum degree of the polynomial
equation? (assuming all coefficients are real)
a. 6
b. 5
с. 4
d. 3
2.
Consider the graph of
f(x) = 2r +4x – 5x? - 5x +6
shown at the right.
How many zeros of the function must be
imaginary?
-5
-3
a. 0
b. 1
с.
d. 3
3. Write the polynomial function of least degree that has zeros of x 2 and x 3i.
(assume all coefficients must be real)
f(x) = x'-2r +9x- 18
b. f(x) =x- 3ix-2x-6
c. f(x) = x'+2r +9x + 18
d. f(x) =x- 6x -6
a.
ffx) = 2x+4x³-5x-5x+ 6
Transcribed Image Text:1. A polynomial equation has roots at x =tl and x 2i. What is the minimum degree of the polynomial equation? (assuming all coefficients are real) a. 6 b. 5 с. 4 d. 3 2. Consider the graph of f(x) = 2r +4x – 5x? - 5x +6 shown at the right. How many zeros of the function must be imaginary? -5 -3 a. 0 b. 1 с. d. 3 3. Write the polynomial function of least degree that has zeros of x 2 and x 3i. (assume all coefficients must be real) f(x) = x'-2r +9x- 18 b. f(x) =x- 3ix-2x-6 c. f(x) = x'+2r +9x + 18 d. f(x) =x- 6x -6 a. ffx) = 2x+4x³-5x-5x+ 6
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