Math 1314Lab 4page 34. For the function f(x) = 3x - 4x° + x² +6x–2%3Da. 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 zerosd. Use your calculator to determine which numbers in the list of rational zeros are probable rationalzeros.e. Use synthetic division to verify one rational zero.f. Use synthetic division or other algebraic methods to find all remaining zeros. List all of the zerosof the polynomial function.

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4. For the function f(x) = 3x -4x° +x? +6x –-2 %3D 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

4. For the function f(x) = 3x -4x° +x? +6x –-2 %3D 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

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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Question

Math 1314
Lab 4
page 3
4. For the function f(x) = 3x - 4x° + x² +6x–2
%3D
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.
f. Use synthetic division or other algebraic methods to find all remaining zeros. List all of the zeros
of the polynomial function.

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Rational zero theorem

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