Beginning and Intermediate Algebra (6th Edition)
6th Edition
ISBN: 9780321969163
Author: Margaret L. Lial, John Hornsby, Terry McGinnis
Publisher: PEARSON
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Chapter B, Problem 38E
To determine
Whether
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In Exercises 26–31, find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value.
26. n= 3; 4 and 2i are zeros; f(-1) = -50
31. n= 4; -2, 5, and 3 + 2i are zeros; f(1) = -96
1. the function x^4 -2x^3 -6x^2 + 22x -15 = 0 has how many roots?
part 2. list all the zeros of the polynomial function f(x) x^4 -2x^3 -6x^2 + 22x -15
Find a polynomial of the specified degree that satisfies the given conditions.
Degree 4; zeros −2, 0, 1, 5; coefficient of x3 is 8
Chapter B Solutions
Beginning and Intermediate Algebra (6th Edition)
Ch. B - Prob. 1ECh. B - Prob. 2ECh. B - Prob. 3ECh. B - Prob. 4ECh. B - Prob. 5ECh. B - Prob. 6ECh. B - Prob. 7ECh. B - Prob. 8ECh. B - Prob. 9ECh. B - Prob. 10E
Ch. B - Prob. 11ECh. B - Prob. 12ECh. B - Prob. 13ECh. B - Prob. 14ECh. B - Prob. 15ECh. B - Prob. 16ECh. B - Prob. 17ECh. B - Prob. 18ECh. B - Prob. 19ECh. B - Prob. 20ECh. B - Prob. 21ECh. B - Prob. 22ECh. B - Prob. 23ECh. B - Prob. 24ECh. B - Prob. 25ECh. B - Use the remainder theorem to decide whether the...Ch. B - Use the remainder theorem to decide whether the...Ch. B - Prob. 28ECh. B - Use the remainder theorem to decide whether the...Ch. B - Prob. 30ECh. B - Use the remainder theorem to decide whether the...Ch. B - Use the remainder theorem to decide whether the...Ch. B - Prob. 33ECh. B - Prob. 34ECh. B - Prob. 35ECh. B - Prob. 36ECh. B - Prob. 37ECh. B - Prob. 38E
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- Find a polynomial y = p(x) of degree 4 that goes through the points (0, 4), (1, 2), (2, -4), (3, -8), (4, 8).arrow_forwardfind a degree 3 polynomial having zeros -8, 2, 6 and coefficient of x3 equal 1. the polynomial is:arrow_forwardUsing the techniques from Section 3.2, sketch the graph of the polynomial function. Specify the x- and y-intercepts, and also specify the zeros of P(x). P(x) = −(x + 1)2(x − 1)3(x − 2) Show all Work PLEASE!!arrow_forward
- Advanced Math Find a polynomial generating function for the number of partitions of the number 12 into distinct parts where no number is used more than twice. For example 12 = 3+3+6 would be a valid partition but 12 = 2+2+2+6 would not be a valid split. State the total number of such partitions below. Please give a numerical Answer! Its not 11 nor 23arrow_forwardtrying to find the polynomial function p(x) with the given zeros (6,0,-6)arrow_forward
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