Math Problem Statement

What could be the equation of the polynomial p(x) given the graph?

Solution

To determine which of the given options represents the correct equation for the polynomial p(x)p(x), we can analyze the graph:

  1. Identify the roots:
    The graph crosses the x-axis at three points, which means the polynomial has three real roots. The approximate x-intercepts (roots) are:

    • x=5x = -5
    • x=0x = 0 (crosses at the origin)
    • x=2x = 2

    This suggests that the factors of (

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Math Problem Analysis

Mathematical Concepts

Polynomial Functions
Roots
Factoring

Formulas

Factorization of Polynomials

Theorems

Root-Factor Theorem

Suitable Grade Level

Grades 9-12