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3) Find the zeros of the polynomial function and state the multiplicity. f(x) = x³ + 4x² 9x - 36

3) Find the zeros of the polynomial function and state the multiplicity. f(x) = x³ + 4x² 9x - 36

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3) Find the zeros of the polynomial function and state the multiplicity. f(x) = x³ + 4x² 9x - 36 4) Graph the polynomial function. Don't forget to find the x-intercepts to divide the x-axis into intervals and choose a test point for each interval, y — intercept. f(x) = 5) Use long division to find the quotient Q(x) and remainder R(x). P(x) 6x³ 2x² + 4x 1 and d(x) = x - 3 6) Find a polynomial function of degree 3 with the given numbers as zeros: 1 √2, 1 + √2 = 1 1 a) f(x) = -¹/5 = - x² + 2x³ 7) Find a polynomial function with rational coefficients where some of its zeros are a)-i, 6 b) -1, 4, 1 + i 8) Graph the function. Be sure to label all the asymptotes. List the domain and the x and y intercepts. b) f(x) = x² + 3x 2x3-5x²-3x
Transcribed Image Text:3) Find the zeros of the polynomial function and state the multiplicity. f(x) = x³ + 4x² 9x - 36 4) Graph the polynomial function. Don't forget to find the x-intercepts to divide the x-axis into intervals and choose a test point for each interval, y — intercept. f(x) = 5) Use long division to find the quotient Q(x) and remainder R(x). P(x) 6x³ 2x² + 4x 1 and d(x) = x - 3 6) Find a polynomial function of degree 3 with the given numbers as zeros: 1 √2, 1 + √2 = 1 1 a) f(x) = -¹/5 = - x² + 2x³ 7) Find a polynomial function with rational coefficients where some of its zeros are a)-i, 6 b) -1, 4, 1 + i 8) Graph the function. Be sure to label all the asymptotes. List the domain and the x and y intercepts. b) f(x) = x² + 3x 2x3-5x²-3x
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