Math Problem Statement
ate a polynomial p with the following attributes. • As x → −∞, p(x) → ∞.
• The point (−1 , 0) yields a local maximum. • The degree of p is 5. • The point (9, 0) is one of the x-intercepts of the graph of p.
Solution
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Math Problem Analysis
Mathematical Concepts
Polynomials
End Behavior
Roots and Intercepts
Critical Points
Formulas
General form of a polynomial p(x) = a(x - r_1)(x - r_2)...(x - r_n)
Theorems
Fundamental Theorem of Algebra
Multiplicity of Roots
Suitable Grade Level
Grades 10-12
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