## Polynomials in descending order

In algebra a monomial is a term used to represent variables or constant terms as a product with or without constant coefficients. ‘Mono’ here means one, 3x y, -2p/3, 36abc, -78 are some of the examples of

It can be defined as a monomial term or a sum or difference of monomial terms. One point to remember here is if in a given expression the denominator has a variable then it is not considered as a poly form, for instance, 3/2x^2 – 5y is not a poly form.

Let us now learn about the degree of a poly form, it is the sum of the powers of the variables. It is the largest degrees of the monomial terms in a given polynomial.

For instance, the degree of the monomial 3x^2 is two, 4a^2 b^3c is (2+3+1) 6 and -5 is zero as there is no variable which can be taken as variable to power zero. Let us now find the

Using the degree we can write these in ascending or descending order. Here ascending order is writing from the smaller to bigger exponents and descending order is writing from the bigger to smaller exponents. Normally polynomials are written in descending order; let us learn how to arrange polynomials in descending order that is from the bigger exponent to smaller exponent.

To write in descending order it is necessary to find the degree first and then arrange each of the monomial terms according to the exponents. Consider the following example, 12x^4-36+5x^3-2x^2. Here the degree of the poly form is 4 as it is the highest degree of the monomial terms in it.

I have recently faced lot of problem while learning

The next highest is exponent three followed by exponent 2. So the terms would be 12x^4, 5x^3, -2x^2 and finally the constant term -36 as its degree is zero. So all put together the descending order would be 12x^4+5x^3- 2x^2 – 36.

The powers are in the descending order and hence we can say that the polynomial is in the descending order. If any power is missing in between then the next smaller exponential term is considered. For instance, 3y^3-27+2y^4, the descending order would be 2y^4+3y^3-27.

**monomials**. ‘Bi’ means two, so when we come across a word binomial it means monomial terms are separated either by an addition operation or a multiplication operation, for example, 3x-2, 4a-2b etc. ‘Tri’ means three and hence trinomial consists of three monomial terms with an addition or subtraction operations, for example, 3x+2y-1.It can be defined as a monomial term or a sum or difference of monomial terms. One point to remember here is if in a given expression the denominator has a variable then it is not considered as a poly form, for instance, 3/2x^2 – 5y is not a poly form.

Let us now learn about the degree of a poly form, it is the sum of the powers of the variables. It is the largest degrees of the monomial terms in a given polynomial.

For instance, the degree of the monomial 3x^2 is two, 4a^2 b^3c is (2+3+1) 6 and -5 is zero as there is no variable which can be taken as variable to power zero. Let us now find the

**degree of polynomial**; x^4- 3x^3y^2 +7, here the degree would be 5.Using the degree we can write these in ascending or descending order. Here ascending order is writing from the smaller to bigger exponents and descending order is writing from the bigger to smaller exponents. Normally polynomials are written in descending order; let us learn how to arrange polynomials in descending order that is from the bigger exponent to smaller exponent.

To write in descending order it is necessary to find the degree first and then arrange each of the monomial terms according to the exponents. Consider the following example, 12x^4-36+5x^3-2x^2. Here the degree of the poly form is 4 as it is the highest degree of the monomial terms in it.

I have recently faced lot of problem while learning

**algebra 1**But thank to online resources of math which helped me to learn myself easily on net.The next highest is exponent three followed by exponent 2. So the terms would be 12x^4, 5x^3, -2x^2 and finally the constant term -36 as its degree is zero. So all put together the descending order would be 12x^4+5x^3- 2x^2 – 36.

The powers are in the descending order and hence we can say that the polynomial is in the descending order. If any power is missing in between then the next smaller exponential term is considered. For instance, 3y^3-27+2y^4, the descending order would be 2y^4+3y^3-27.