Math Problem Statement

Identify the zeros, their multiplicy, and their effect on the graph of the function. F(x)-x(3x-2) squared (x+9) to the 5th

Solution

To identify the zeros, their multiplicity, and their effect on the graph of the function f(x)=x(3x−2)2(x+9)5f(x) = x(3x-2)^2(x+9)^5, let's break it down step-by-step.

Step 1: Find the Zeros

To find the zeros of f(x)f(x), set

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Math Problem Analysis

Mathematical Concepts

Polynomials
Zeros of Functions
Multiplicity of Zeros
Graphing Functions

Formulas

f(x) = x(3x-2)²(x+9)⁵

Theorems

Factor Theorem
Multiplicity of Zeros

Suitable Grade Level

Grades 9-11

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