Figure 3a, -mn, ×2, -abx, they use the product of numbers and letters, which is the so-called simple algebraic formula. A single number or letter 4x3 has only one structural formula.
A single number and a single factor are called factors.
A formula, the index of all letters, is called a monomial, such as the number of people: ..
3a is the product of three letters, and the exponent is 1. The coefficient of the monomial of 3a is 3, and the number is 1.
-mn can be regarded as-1 Mn. Add mn 1 to the product so that the single mn coefficient-1 is 2.
The coefficient of monomial ×2 is 1. When the number is 2, when the coefficient is omitted here, writing is usually not performed.
The coefficient is a single item -2abx -2, and the degree is equal to the index sum of three letters 1+ 1+ 1 = 3. Note that the coefficient of this single item is negative. Pay attention to the individual quantization coefficient, including the previous logo style. Don't miss it.
According to the definition of monomial, the monomial only contains multiplication (including power supply) and digital division, such as M2N,-. This algebra is a monomial, in which the monomial-which can be regarded as a number-and the ab initio product, its coefficient is-and the number is 2.
Denominator algebra contains letters. Generally speaking, it is not a single formula, because they cannot be used as production factors of numbers and letters.
2 ... Conceptual polynomials
Several monomials, also known as algebraic polynomials: In figure 2a+B, x2-3x+2 m3-3n3-2m+2n is a polynomial, which can be seen in x2-3x+2. The monomials ×2, -3x, 2 and m3-3n3-2m+2n can be regarded as cubic meters, -3n3, -2m, 2n and.
In polynomial, each individual is called a polynomial, and the formula does not contain the term called the letter constant term. When determining the term of polynomial, we should pay special attention to the sign term, such as polynomial x2-3x+2.
There are three kinds, namely X2 and -3x, the second one is "-3x", but it can't be said to be "3 times", and 2 is a constant term.
Polynomial degree is the maximum degree of polynomial, for example: .. Figure 2a+b is binomial; X2-3x+2 is a quadratic trinomial; M3-3n3-2m+2N type 3-4.
At the beginning of monomial and polynomial, both contain monomial, and only multiplication is allowed. And the divisor of digital division operation; Polynomials must contain an addition or subtraction operation, but they cannot have a general formula other than letter division.
Therefore, this formula does not contain any addition or subtraction operations. Polynomials must include addition or subtraction, which is the most obvious difference between them.
3.
The arrangement of polynomials is due to some personal styles, so you can use the foreign exchange position of additive commutative law and related polynomials. For the convenience of calculation, according to this command, the size of some letters is usually polynomial.
Polynomials are arranged in descending alphabetical order with a specific index, which is called this polynomial arranged in descending alphabetical order. A polynomial has a letter index, and the order from small to large is called this polynomial, which is arranged in ascending alphabetical order.
Important and difficult
1. This section focuses on the beginning of related concepts; The difficulty lies in correctly identifying the coefficients of polynomials.
Item 2. Regarding single factor, it should be noted that: ① contains coefficient symbols; ② The coefficient is 1 or-1, which is usually omitted.
3. About the single time: ① When the index is 1:00, the letter "a" is usually ignored; ② Exclude letters of non-zero numbers, such as -2, 0.5, etc. These personal styles are called "zero monomials" and the number 0 is "any number of personal styles".
4. For polynomial entries, each entry must be included in front of the symbol.
5. Correctly understand the concept of polynomial, which refers to the term with the largest degree, rather than all the letters in polynomial and exponent, and try to separate the number of single areas.