Math Problem Statement
Find a polynomial of degree 3 with real coefficients and zeros of minus3,minus1, and 4, for which f(minus2)equals12.
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Polynomials
Roots and Zeros
Factorization
Formulas
General form of polynomial with given roots: f(x) = a(x - root1)(x - root2)(x - root3)
Solving for constant a using a point: f(point_x) = f(point_y)
Theorems
Factor Theorem
Suitable Grade Level
Grades 10-12