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To be a polynomial function:
1) exponents must be positive integers
2) coefficients must be real numbers
*degree is largest exponent
*leading coefficient is coefficient of term with
largest exponent
degree?
leading coefficient?
1.
f(x) = c polynomial degree 0f(x) = mx + b polynomial degree 1f(x) = ax2 + bx + c polynomial degree 2
These are all polynomial functions.But in this section, we are focusing on a degree of 3 or higher.
graphs of polynomial functions should be smooth and continuous
degree is odd degree is even
What are zeros?
What else represents zeros of functions? x-intercepts, roots, solutions
How do we find the real zeros of a polynomial function?
1) factor if we can
2) set the factors equal to zero and solve
What are we talking about? Let's look at one of our previous examples.