4. For the function f(x) = 3x -4x° +x² +6x-2 a. State the degree of the polynomial. b. State the number of zeros the polynomial function will have. c. Use the Rational Zero Theorem to list all of the possible rational zeros

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.4: Real Zeros Of Polynomials
Problem 1E: If the polynomial function Px=anxn+an-1xn-1++a1x+a0 has integer coefficients, then the only numbers...
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4. For the function f(x) = 3x -4x³ + x² +6x -2
a. State the degree of the polynomial.
b. State the number of zeros the polynomial function will have.
c. Use the Rational Zero Theorem to list all of the possible rational zeros
d. Use your calculator to determine which numbers in the list of rational zeros are probable rational
zeros.
e. Use synthetic division to verify one rational zero.
T. Use synthetic division or other algebraic methods to find all remaining zeros. List all of the zeros
of the polynomial function.
1admun
Transcribed Image Text:4. For the function f(x) = 3x -4x³ + x² +6x -2 a. State the degree of the polynomial. b. State the number of zeros the polynomial function will have. c. Use the Rational Zero Theorem to list all of the possible rational zeros d. Use your calculator to determine which numbers in the list of rational zeros are probable rational zeros. e. Use synthetic division to verify one rational zero. T. Use synthetic division or other algebraic methods to find all remaining zeros. List all of the zeros of the polynomial function. 1admun
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