Math Problem Statement
Find the equation of a polynomial of degree 4 with leading coefficient of 1 that has zeros at
xequals=minus−2,
minus−1,
2, and 3.5. Consider clicking on the "y-intercept" box.
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Part 1
f(x)equals=enter your response here
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Polynomials
Factoring
Zeros of a Polynomial
Polynomial Expansion
Formulas
f(x) = a(x + 2)(x + 1)(x - 2)(x - 3.5)
f(x) = x^4 - 2.5x^3 + 0.5x^2 - 26.5x + 14
Theorems
Fundamental Theorem of Algebra
Suitable Grade Level
Grades 10-12