Descartes' rule of signs is a technique for determining the number of positive and negative real roots of a polynomial.
The factor theorem states that if is a polynomial of degree and , then is a factor of the polynomial .
The factorization theorem states that If , where , and is a positive integer, then where the numbers are complex numbers.
The multiplicity of a term describes the number of times the given term acts as a zero of the given function.
A polynomial is an expression with at least one algebraic term, but which does not indicate division by a variable or contain variables with fractional exponents.
Rational Zero Theorem
The rational zero theorem states that for a polynomial, , where are integers, the rational roots can be determined from the factors of and . More specifically, if is a factor of and is a factor of , then all the rational factors will have the form .
The remainder theorem states that if , then is the remainder when dividing by .
The roots of a function are the values of x that make y equal to zero.
Synthetic division is a shorthand version of polynomial long division where only the coefficients of the polynomial are used.
The zeroes of a function are the values of that cause to be equal to zero.
The zeros of a function are the values of that cause to be equal to zero.
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Finding roots of polynomial functions and graphing polynomial functions.