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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) = − x² + 2x³ 5) Use long division to find the quotient Q(x) and remainder R(x). P(x) = 6x³ 2x² + 4x 1 and d(x) 6) Find a polynomial function of degree 3 with the given numbers as zeros: 1 - √2, 1 + √2 7) Find a polynomial function with rational coefficients where some of its zeros are - = x - 3

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) = − x² + 2x³ 5) Use long division to find the quotient Q(x) and remainder R(x). P(x) = 6x³ 2x² + 4x 1 and d(x) 6) Find a polynomial function of degree 3 with the given numbers as zeros: 1 - √2, 1 + √2 7) Find a polynomial function with rational coefficients where some of its zeros are - = x - 3

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.5: Zeros Of Polynomial Functions
Problem 79E
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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) = x² + 2x³ 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, 1 - √2, 1 + √2 2 a) f(x) = = 1²/15 x-5 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: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) = x² + 2x³ 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, 1 - √2, 1 + √2 2 a) f(x) = = 1²/15 x-5 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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