Polynomials (Leaving Cert Mathematics): Flashcards

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Polynomials
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Definition of a polynomial

Expression w/ variables, coefficients, +, -, ×, non-neg. integer exponents

Operations allowed in polynomials

Addition, subtraction, multiplication

What are coefficients in a polynomial

Real numbers (e.g., an,an−1,...,a0a_n, a_{n-1}, ..., a_0)

What is the degree of a polynomial

Non-negative integer nn representing highest power

Type of number the degree must be

Non-negative integer

Degree of f(x)=4x3−x2−xf(x)=4x^3-x^2-x

33

Degree of y=3+4x−7x2y=3+4x-7x^2

22

Degree of g(x)=7g(x)=7

00

Type of exponents allowed in polynomials

Non-negative integers

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