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Polynomial Vocablary

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WordDefinition
Polynomial An expression consisting of the sum of two or more terms each of which is the product of a constant and a variable raised to an integral power.
Irrational Root Theorem If a + sq root of b is a root of a given polynomial with rational coefficients, then is also a root.
Pascal's Triangle A triangle of numbers in which a row represents the coefficients of the binomial series.
Multiplicity A zero of a polynomial function is the number of times the related linear factor is repeated in the factored form of the polynomial.
Rational Root Theorem If p/q is the simplest form and is a rational root of the polynomial equation a n x^n+a n-1x^n-1+...+a n-1x^n+a 0=0 with integer coeficients, then p must be a factor of a 0 and q must be a factor of a n.
Complex Conjugate The complex numbers a+bi and a-bi.
Imaginary Root Theorem If the imaginary number a+bi is a root of a polynomial equations with real coefficients, then the conjugate a-bi also is a root.
Remainder Theorem If a polynomial P(x) of degree n > 1 is divided by (x - a), where a is a constant, then the remainder is P(a).
Conjugate Either of a pair of complex numbers of the type a + bi and a − bi, where a and b are real numbers and i is imaginary.
Created by: ka2011usang