Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros: 6, multiplicity 2; 2i Enter the polynomial. Let a represent the leading coefficient. f(x) = a() (Type an expression using x as the variable. Use integers or fractions for any numbers in the expression. Simplify your answer.)

Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros: 6, multiplicity 2; 2i Enter the polynomial. Let a represent the leading coefficient. f(x) = a() (Type an expression using x as the variable. Use integers or fractions for any numbers in the expression. Simplify your answer.)

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 82E: Number of Intercepts and Local Extrema How many x-intercepts and how many local extrema does the...

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Number of Intercepts and Local Extrema How many x-intercepts and how many local extrema does the polynomial P(x)=x34x have? How many x-intercepts and how many local extremadoes the polynomial Q(x)=x3+4x have? If a > 0. bow many x-intercepts and how many local extrema does each Of the polynomials P(x)=x3ax and Q(x)=x3+ax have? Explain your answer.