Answer:
f(x) = a*x^5 + b*x^3 + c*x^2 + 12.
Explanation:
I am using the degree 5 as an example, so we will have a term like:
a*x^5
it crosses the vertical axis at y = 12, then we will have a constant term equal to 12.
The polynomial has 4 terms, and we already defined two, so we can invent two more, such that the exponent must be between 1 and 4
This polynomial can be something like:
f(x) = a*x^5 + b*x^3 + c*x^2 + 12.
where a, b and c are real numbers.
Has 4 terms, f(0) = 12, then it intersects the y-axis at y = 12, and the maximum exponent is 5, then the degree of f(x) is 5.