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Unit 5: Polynomial

A ______ is a monomial or the sums of monomials. polynomial
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) Remainder Theorem
number pairs of the form a+√b and a-√b are ________. Conjugates
Let a and b be rational numbers and let √b be an irrational number. If a+√b is a root of a polynomial equation with rational coefficients, then the conjugate a-√b also is a root. Irrational Root Theorem
___________ ____________ is a patteren for finding the coefficients of the terms of a binomial expansion. Pascal's triangle
The __________ of a zero of a polynomial function is the number of times the related linear factor is repeated in the factored form of the polynomial. Multiplicity
If p/q is in simplest form and is a rational root of the polynomial equation anxn+an-1xn-1+a1x+a0=0 with intefer coefficeients, then p must be a factor of a0 and q must be a factor of an. Rational Root Theorem
Th complex numbers a+bi and a-bi are _______ _________. Complex Conjugate
If the imaginary number a+bi is a root of a polynomial equation with real coeffients, then the conjugate a-bi also is a root. Imaginary Root Theorem
Created by: malloryl93