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1.1-1.12 Polynomials - Coggle Diagram
1.1-1.12 Polynomials
Monomials and Polynomials
monomials/单项式
polynomials/多项式
degree/次数
coefficient/系数
同底数乘法
底数不变
指数相加
乘法
底数相同
multiplying monomials
multiply powers with same base
simplify
multiply coefficients
multiplying monomials by polynomials
Multiply all terms of the polynomial by the monomial
simplify
add all the products
multiplying polynomials
add all the products
simplify
Multiply all terms of one polynomial by each term of the other polynomial.
using letters to represent numbers
the value of algebraic expressions
algebraic expression
字母
加减乘除
数字
没有等号/不等号
代数式
分数无理式
整式
单项式
多项式
difference of square formula
特征
相同项的平方和互为相反数项的平方的差
两个二项式相乘，一个相同项，一个互 为相反数项
The product of sum and difference of the same two terms is the difference of their squares.
combine like terms
字母部分一样
相同字母指数
字母相同
Addition and subtraction of polynomials
combine like terms
brackets
if there is a minus sign outside the brackets, change the positive sign to negative and the negative sign to positive inside the brackets
power of power
power of product
