Polynomial functions
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Polynomial functions can be represented by a formula involving terms of variables raised to nonnegative integer powers, where the highest power denotes the degree of the polynomial. Examples are provided of polynomials of varying degrees, as well as non-polynomial functions involving fractional or negative exponents. Polynomials have properties including degree, leading coefficient, standard form, and factored form that are defined in the document.
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- 1. Polynomial Functions By: Ross Lee
- 2. Polynomial Functions All polynomial functions can fit into this formula- f(x)=ax^n+bx^n-1+cx^n-2+….. a,b,c …. are real numbers n is a positive integer
- 3. Examples of Polynomials F(x)=1/2x^2+2x-3 F(x)=6x^4-3x^2+2x-5 F(x)=x^7-2 F(x)=5
- 4. Examples of non-polynomials F(x)=x^-2+5 F(x)=2x^1/2+3x^2-4 F(x)=x^1/2 F(x)=x^-2
- 5. Polynomials Degree: highest power of x-in standard form Leading coefficient: the coefficient of the first term, when terms are in descending order Standard form: everything is multiplied together Factored form: F(x)=(x-r1)(x-r2)(x-r3)
- 6. The End