A country's census lists the population of the country as 264 million in 1990, 286 million in 2000, and 304 million in 2010. Fit a second-degree polynomial passing through these three points. (Let the year 2000 be x = 0 and let p(x) represent the population in millions.) p(x) = ? Use this polynomial to predict the populations in 2020 and in 2030.

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Q: A country's census lists the population of the country as 245 million in 1990, 289 million in 2000,…

A: To find a second-degree polynomial that is passing through the given points.

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A: Please check step 2 for the solution.!

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A: Please refer the attached image for complete solution. THANK YOU.

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Q: 4. Determine a possible equation for the polynomial function that corresponds to this graph.

A: Let's Solve,

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A: Explain why a polynomial function of degree 20 cannot cross the x-axis exactly once?