polynomial into a product of two linear factors and a quadraticc) Determine the zeros to the quadratic polynomial found in the previous step2. Suppose that a polynomial function y = f(x) has local approximations at its x-intercepts given by:.2i.The local approximation at x = 0, is given by y = 2x2ii.The local approximation at x = 3, is given by y = (x – 3)ii.The local approximation at x = 6, is given by y = 4x3a) Sketch the graph of a polynomial, having the lowest degree, that displays the above threeconstraintsb) Determine the y-intercept of the polynomial functionMath 1..81%

y=2x2in this polynomial the degree is 2y=(x-3)2 y=x2-6x+9degree of the polynomial is 2y=4x3degree of…

2. Suppose that a polynomial function y = f(x) has local approximations at its x-intercepts given by: i. The local approximation at x = 0, is given by y = 2x² ii. The local approximation at x = 3, is given by y = (x – 3)² iii. The local approximation at x = 6, is given by y = 4x3 a) Sketch the graph of a polynomial, having the lowest degree, that displays the above three constraints b) Determine the y-intercept of the polynomial function

2. Suppose that a polynomial function y = f(x) has local approximations at its x-intercepts given by: i. The local approximation at x = 0, is given by y = 2x² ii. The local approximation at x = 3, is given by y = (x – 3)² iii. The local approximation at x = 6, is given by y = 4x3 a) Sketch the graph of a polynomial, having the lowest degree, that displays the above three constraints b) Determine the y-intercept of the polynomial function

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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