How to look at the number of mononomials and polynomials and coefficients, don t define them, please

A monomial is the product of letters, numbers, variables, such as 3, a, 5x, etc.;

The coefficient of the monomial is the number before the variable, for example, the coefficient of 5xy is 5, and the number of the mononomial is the sum of the number of variables, such as 3xyz, the number is 1 time of x + 1 time of y + 1 time of z, which is 3

A polynomial is the sum of a monomial, e.g. 3xy+4xyz+5 waits.

The degree of the polynomial is the highest number of the monomials that make up the polynomial, such as 3xy+4y 3+6xy 4 where the first term is 2, the second term is 3, and the third term is 5Therefore, the degree of this polynomial is considered to be 5 times.

Polynomials generally don't talk about coefficients, only look at the coefficients of a certain term, similar to mononomials The above is a personal understanding, which can be combined with textbooks to learn

The product that represents a number or letter is called a monomial.

A formula that represents the product of a number or letter is called a monomial. The numerical factor in a monomial is called the coefficient, and the sum of the exponents of all the letters in a monomial is called the degree of

a monomial)。The power of zero of any non-zero number is equal to 1.

For example, 3x has an exponent of 1

Coefficients and degrees of a monomial refer to the known functions or constants multiplied by unknowns in expressions or equations related to a particular variable (or unknown function) and its derivatives are called coefficients.

The term coefficient is also widely used in physics, engineering, computer technology, and other fields. For example, the ratio of the partial value of a quantity to the total value, or the relationship between the change of one quantity and the change of other quantities, are called coefficients.

At this time, the coefficient is often preceded by the proper name of the phenomenon or thing, such as the expansion coefficient, the carbolic acid coefficient, etc. The numeric factor in a monomial is also called the coefficient of this monomial. The factor of the highest power term in a polynomial is called the coefficient of the polynomial.

Coefficients:

For example, a coefficient of 14m is a coefficient of 123.

The coefficient of 2000ax is 2000.

The numeric factor in a monomial is called its coefficient, and the sum of the exponents of all the letters in a monomial is called its degree. For example, the coefficient of ABC is 1, and the number of times is 3.

The function relation y=x+6 is the same as the coefficient of the primary term in y=x, both of which are 1.

Usually the coefficient is not 0.

Count:

number of times] The number of times the same action or event repeats.

order number] refers to the number of torsional shock or vibration rounds, such as the number of impact returns per rotation of the shaft for torsional oscillation of an engine crankshaft.

The coefficient of the monomial is the number before the letter, and if it is 5x, the coefficient is 5;

The number of a monomial is the exponential sum of all letters, e.g. 6xy 2z 3, the number is 1 + 2 + 3 = 6 times.

Note: When the number is 1, it can be omitted and not written, and the number of constant terms (referring to numbers) is 0 The number of polynomials refers to the number of times of the highest number of terms, such as x 2-6xy + 3y 3, and the number of the highest number of terms here is 3 times, so the number of this polynomial is 3 times.

To put it simply, a formula without addition and subtraction is a monomial, and the sum and difference of several monomials are polynomials.

5/4x(2)y

It's a monomial. Coefficient: The value of the mononomial is the coefficient when all letters take the value of 1. Simply put, it's numbers other than letters. The coefficient of the above mononomial is -5 4.

Frequency: The sum of the number of times of all letters is the number of times of the monomial. The above equation is 3 because x is 2 and y is 1, and they add up to 3.

x k is k, 1 x is x (-1), his order is -1, and the constant term is 0) Another example: abc d, its order is 1+1+1+(-1)=2

The fifth term in the problem is -6xy(4) and the coefficient is -6.

Ranking by the power of x (number of times) is to rearrange each monomial according to the number of times x, the larger the number of times, the more front it is. The result after the rearrangement is:

2x(5)y(2)-x(3)y-5/4x(2)y-6xy(4)-8

The numerical factor in a monomial is called the coefficient of the monomial, and the sum of the exponents of all the letters in a monomial is called the number of times of the monomial. A monomial is a few times, so it's called a few monomials.

An algebraic formula consisting of the product of a number or letter is called a monomial, a single number or a letter is also called a monomial (e.g., 0 can be seen as 0 times a, 1 can be seen as a letter with a multiplication of 1 times 0, b can be seen as b times 1), and the product of fractions and letters is also in the form of a monomial.

The numerical factor in a monomial is called the coefficient of the monomial, and the sum of the exponents of all the letters in a monomial is called the number of times of the monomial. A monomial is a few times, so it's called a few monomials.

Monomial writing rules: when a number is multiplied by a letter, the number comes before the letter; The multiplication sign can be omitted as a dot or not written; The formula of division can be written as a fraction; The band fraction is multiplied by the letters, and the band fraction is turned into a false fraction.

Nature of the monomial:

1) The product of any letter and number is in the form of a monomial. (In division, dividing by a number equals multiplying the reciprocal of that number).

2) A single letter or number is also called a monomial. 0 is also a number and also belongs to a monomial. If a monomial contains only a numeric factor, then it has a degree of 0.

3) Formulas with letters in the denominator are not monomial. Because a monomial belongs to an integer, and a formula with an unknown denominator is a fraction.

For example, 5 then 5 = 5 * a 0

So the coefficient is itself, and the number is 0

As for polynomials, first calculate the number of each monomial, and the number of polynomials is the number of the highest monomial, such as 3*x+x*y-z+x*x*y The number is 3. The product of any letter and number discussed above is in the form of a monomial. (There is a :

Dividing by a number is equal to multiplying the reciprocal of this number).

For example, Yu Zheng 9x 2+x+3=0

Then 9 is a coefficient of 9x 2 and 1 is a coefficient of x.

2 is 9x 2 times and 1 is x times.

3 is a constant term.

Momial: An algebraic formula consisting of a number multiplying a letter with a letter or a letter by a letter. A single number or letter is also called a monomial.

Note: A monomial does not contain addition and subtraction, only multiplication (including multiplication) of letters and letters or letters.

Number of monomials (exponential): The sum of the exponents of all the letters in a monomial is called the number of times this monomial.

Polynomial: The sum of several monomials is called a polynomial. Each mononomial is called a polynomial term, and an item without a letter is called a constant term.

Number of polynomials: The number of terms with the highest degree in a polynomial is the number of times of this polynomial.

In multiple items, the number of times an item that contains letters is called a few terms.

Coefficient: The numeric factor before the letter. The coefficient of the constant term is this constant.

Mompal bai

The number of times that the zhi sum of all the letters of the exponents in a du monomial is called the number of times of the dao monomial.

Coefficients of the mononomial layout: The numeric factor in the weighted monomial.

For example, the coefficient of 2x is 2, and the number of times is 3;

The coefficient of 5xy is -5 and the number of times is 2.

Polynomial: The sum of several monomials is called a polynomial.

In polynomials, each monomial is called a polynomial term, and the term without a letter is called a constant term, and the highest number of these monomials is the degree of this polynomial.

For example: 3xy+4a+5b, this is a polynomial, its terms are 3, respectively, 3xy, 4a, 5b, and the coefficients are 3 4 .5, the number of times is 2