POLYNOMIAL FUNCTIONS
Part 1
In a polynomial function, all exponent must be natural numbers. Here is an example: f(x)=4x^7+3x^5+2x-7
NOT an example: f(x)=4x^-3.2+5x^1.2-3 This is not a polynomial function because of the decimal and negative exponents. |
Part 2- Solving Polynomials
When we solve a polynomial, we are finding the roots. However, in order to solve, we need to find the degree of a polynomial.
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Fundamental Theorem of Algebra
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A degree 'n' polynomial function will have 'n' roots
Side Note-imaginary roots come in pairs |
Synthetic division is another way. Example: |
Part 3- Finding Rational Roots