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Polynomials and Polynomial Functions

Published on Nov 19, 2015

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PRESENTATION OUTLINE

Polynomials and Polynomial Functions

By:Mina Garcia

Binomial Theorem

A formula that finds the power of any binomial without multiplying the length.

Combination

An unordered selection of r objects from a set of n objects is a combination
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conjugates

Writing the sum of two terms as opposites.

Factor Theorem

If a polynomial is divided by its factor then the remainder will be zero.

Fundamental Theorem of Algbra

If p(x) is a polynomial of degree n is greater or equal to 1  with complex coefficients then P(x)=0.

Imaginary Root Number

Imaginary number of a+bi is the root of a polynomial w/real coefficients, its conjugate is its root.

Irrational Root Theorem

A and b are rational numbers and √b an irrational number.

Multiplicity

The many times a number is a zero for a polynomial.

Pascal's Triangle

A triangle where you add the top numbers, it makes out the bottom.

Polynomial Function

A polynomial function has real numbers and n is a nonnegative integer.

Rational Root Theorem

The Rational Root Theorem checks if the polynomial has rational roots.

Remainder Theorem

The remainder of the divided polynomial is equal to a linear polynomial.

Standard Form of a Polynomial

A polynomial is in standard form when the polynomial's degree is greatest to least.

Synthetic Division

Synthetic division is a shortcut for dividing a polynomial by a linear function.