The polynomial of degree 4 has a zero of multiplicity 2 at I = 4 and zeros of multiplicity 1 at I = 0 and r = – 2. It passes through the point (5, 14). Find a formula for the polynomial. Do not expand the polynomial; Write it in factored form. {Write it as an equation y = equation.}

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Problem Statement:**

The polynomial of degree 4 has a zero of multiplicity 2 at \( x = 4 \) and zeros of multiplicity 1 at \( x = 0 \) and \( x = -2 \). It passes through the point \( (5, 14) \).

**Task:**

Find a formula for the polynomial. Do not expand the polynomial; write it in factored form. {Write it as an equation \( y = \text{equation}. \)}
Transcribed Image Text:**Problem Statement:** The polynomial of degree 4 has a zero of multiplicity 2 at \( x = 4 \) and zeros of multiplicity 1 at \( x = 0 \) and \( x = -2 \). It passes through the point \( (5, 14) \). **Task:** Find a formula for the polynomial. Do not expand the polynomial; write it in factored form. {Write it as an equation \( y = \text{equation}. \)}
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