Math Problem Statement

Find a polynomial of degree 3 with real coefficients and zeros of minus​3,minus​1, and​ 4, for which ​f(minus​2)equals12.

Solution

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Math Problem Analysis

Mathematical Concepts

Polynomials
Factored Form
Zeros of a Polynomial
Polynomial Expansion

Formulas

Factored form of a polynomial: f(x) = a(x - r1)(x - r2)...(x - rn)
Condition-based solving: f(x) at a specific point

Theorems

Fundamental Theorem of Algebra

Suitable Grade Level

Grades 10-12