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).

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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