Consider a polynomial function $P(x)$ of degree 4 with a leading coefficient of 1. The graph of $y=P(x)$ is tangent to the $x$-axis at $x=1$ and $x=3$. Furthermore, $P(0) = 9$. Determine the equation of $P(x)$ and justify your answer.
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Create Free Account Log inThis is a free VCE Units 3 & 4 Mathematical Methods practice question worth 5 marks, testing your understanding of Polynomial Function Graphs. It falls under Functions, relations and graphs in Unit 3: Mathematical Methods Unit 3. Submit your answer above to receive instant AI-powered marking and personalised feedback.
Extend introductory study of functions, algebra, calculus. Focus on functions, relations, graphs, algebra, and applications of derivatives.
Covers transformations, polynomial functions, power functions, exponential functions, logarithmic functions, circular functions, and combinations of these.
graphs of polynomial functions and their key features
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