An algebraic expression containing one or more more terms is called a polynomial, if every variable in it has only whole number ( 0 or positive integer ) powers.
2x4 + 2x3 is a polynomial with 2 terms.
So what is the difference between multinomial and polynomial?
The powers of the variables in multinomial (and also in monomial, binomial, trinomial) can have any real values (positive integers, negaitive integers, rational numbers, irrational numbers}.
where as The powers of the variables in polynomial can have only whole number powers.
Out of the Examples given above for multinomial,ONLY iii) is polynomial.
i),which is x + 3⁄x + 7xy - 5⁄y is NOT a polynomial. Because it has negative power terms. ( x and y in the denominator indicate theirpowers are -1. )
ii) and iv) are not polynomials because they have '√'which means the power is 1⁄2 which is not a wholenumber.
Progressive Learning of Math : Algebra Glossary
Recently, I have found a series of math curricula (Both Hard Copy and Digital Copy) developed by a Lady Teacher who taught everyone from Pre-K students to doctoral students and who is a Ph.D. in Mathematics Education.
This series is very different and advantageous over many of the traditional books available. These give students tools that other books do not. Other books just give practice. These teach students “tricks” and new ways to think.
These build a student’s new knowledge of concepts from their existing knowledge. These provide many pages of practice that gradually increases in difficulty and provide constant review.
These also provide teachers and parents with lessons on how to work with the child on the concepts.
The series is low to reasonably priced and include