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a. Find the polynomial of degree 4 that has a zero of multiplicity 2 at x = 3, and zeros of multiplicity 1 at x = 0 and x = -10, and a graph that passes through the point (2, 120). b. There are infinitely many polynomials of degree 4 that have a zero of multiplicity 2 at x = 3, and zeros of multiplicity 1 at x = 0 and x =-10. Name three of them. Leave your functions in factored form.

a. Find the polynomial of degree 4 that has a zero of multiplicity 2 at x = 3, and zeros of multiplicity 1 at x = 0 and x = -10, and a graph that passes through the point (2, 120). b. There are infinitely many polynomials of degree 4 that have a zero of multiplicity 2 at x = 3, and zeros of multiplicity 1 at x = 0 and x =-10. Name three of them. Leave your functions in factored form.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
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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a. Find the polynomial of degree 4 that has a zero of multiplicity 2 at x = 3, and zeros of multiplicity 1 at x = 0 and x =-10, and a graph that passes through the point (2, 120). b. There are infinitely many polynomials of degree 4 that have a zero of multiplicity 2 at x = 3, and zeros of multiplicity 1 at x = 0 and x =-10. Name three of them. Leave your functions in factored form.
Transcribed Image Text:a. Find the polynomial of degree 4 that has a zero of multiplicity 2 at x = 3, and zeros of multiplicity 1 at x = 0 and x =-10, and a graph that passes through the point (2, 120). b. There are infinitely many polynomials of degree 4 that have a zero of multiplicity 2 at x = 3, and zeros of multiplicity 1 at x = 0 and x =-10. Name three of them. Leave your functions in factored form.
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