Given the polynomial function: h(x)= 3x³-7x²-22x+8 a) List all possible rational zeroes of h(x). b) Use long division or synthetic division to show that 4 is a zero of the given function. c) Find the remaining zeros. d) Write the complete linear factorization of h(x).

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter3: Polynomial Functions
Section: Chapter Questions
Problem 8T: Use synthetic division to show that x=3 is a zero of the function f(x)=2x35x26x+15. Use the result...
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Given the polynomial function:
h(x) = 3x³ - 7x² - 22x+8
a) List all possible rational zeroes of h(x).
b) Use long division or synthetic division to show that 4 is a zero of the given function.
c) Find the remaining zeros.
d) Write the complete linear factorization of h(x).
Transcribed Image Text:Given the polynomial function: h(x) = 3x³ - 7x² - 22x+8 a) List all possible rational zeroes of h(x). b) Use long division or synthetic division to show that 4 is a zero of the given function. c) Find the remaining zeros. d) Write the complete linear factorization of h(x).
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