What are the rules in addition of polynomials?
Add together the coefficients of "like" terms. Like terms are those that have the same powers of the variables in the polynomials.
In the United States, the acronym PEMDAS is common. It stands for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. PEMDAS is often expanded to the mnemonic "Please Excuse My Dear Aunt Sally". This explains the order of operations. With no brackets, exponents are resolved first, then multiplication and division from left to right, then addition and subtraction from left to right.
Richard Askey has written: 'Three notes on orthogonal polynomials' -- subject(s): Orthogonal polynomials 'Recurrence relations, continued fractions, and orthogonal polynomials' -- subject(s): Continued fractions, Distribution (Probability theory), Orthogonal polynomials 'Orthogonal polynomials and special functions' -- subject(s): Orthogonal polynomials, Special Functions
The rules for addition are as follows: The sum of two negative integers is a negative integer The sum of two positive integers is a positive integer The rules for subtraction are as follows: If they are two positive numbers, do it normally If there is a negative and a positive ,change it to addition and switch the SECOND integer sign
Vector addition does not follow the familiar rules of addition as applied to addition of numbers. However, if vectors are resolved into their components, the rules of addition do apply for these components. There is a further advantage when vectors are resolved along orthogonal (mutually perpendicular) directions. A vector has no effect in a direction perpendicular to its own direction.
"Non-polynomials", having none of the properties or characteristics of polynomials, or even having some but not all of those features, have no legitimate claim to the descriptive title "polynomial". In contrast, "polynomials" are observed upon the closest examination to match the formal definition of that class of expressions in every detail, by virtue of which they are entitled to that coveted appellation, along with all of the rights and privileges to which its holders are…