Algebraic expression addition and subtraction:

When the monomial is multiplied by the monomial, the product of the coefficient multiplied by the coefficient is taken as the coefficient of the product, and the cardinal number of the same letter remains unchanged, and the index is added, and the single letter remains unchanged, which is still regarded as a factor of the product.

Multiplying a polynomial by a monomial is to multiply each term of a polynomial by a monomial, and then add all the terms.

Multiply each term of one polynomial by each term of another polynomial, and then add the products.

Numbers are divided by numbers, and the same letters are divided. For letters owned only in bonuses, including the index of letters, they are used as factors of quotient.

Divide the polynomial by the monomial, first divide the polynomial by the monomial, and then add the obtained quotients.

General steps of dividing polynomial by polynomial: Polynomial divided by polynomial is generally calculated vertically.

(1) Sort the divisor and divisor in descending alphabetical order, and fill the missing items with zeros.

(2) Divide the first term of the divisor by the first term of the divisor to get the first term of the quotient.

(3) Multiply and divide the formula with the first term of the quotient formula, write the product (alignment of similar terms) below the divided formula, and subtract the product from the divided formula.

(4) Take the subtracted difference as a new divisor and continue to calculate according to the above method until the remainder is zero or the number of times of the remainder is lower than the number of times of the divisor. Divider = divisor × quotient+remainder.

If a polynomial is divided by another polynomial and the remainder is zero, it is said that this polynomial can be divisible by another polynomial.

(5) If the divisor can decompose the factor, and the factor is the same as the factor in the divisor, then the divisor and the divisor can be decomposed into factors.

The most important thing is to pay attention to the sign of each coefficient.

One-dimensional linear equation:

An integral equation containing only one unknown (namely "yuan") and the highest degree of the unknown is 1 (namely "degree") is called a linear equation with one yuan. The standard form of linear equations with one variable (that is, the form that can be obtained after all linear equations with one variable are sorted) is ax+b=0(a, B are constants, X is unknown, and a≠0). Root formula: x =-b/a.