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chapter 5: polynomials - Coggle Diagram
chapter 5: polynomials
5.3 Addition and subtraction
like terms
and
unlike terms
like term: 同类项
unlike term: 异类项
like terms example
x and 3x
x and 4x
unlike terms examples
x and 4e
d and x
Adding and subtracting
polynomials
1,remove brackets
2,grouping liketerms
3,combining like terms
5.2 Concepts of Polynomials
A. definition
monomial
a monomial is a kind of algebraic expression satisfying either of the following conditions
Examples of monomials
2, -7,x,uv
B. value of polynomials
5.1 Simplification
of expressions in
index notation
A. laws of indices
for a xa and a /a
a =axaxa
a xa =axaxaxaxa
a /a =a
B. laws of indices
for(a )
(3 ) =3 =243
laws of indices
for (ab) and (a/b)
(ab) =a b
(a/b) =a /b
5.4 Multiplication
A. multiplying a monomial
by a polynomial
yx(a+b)=ya+yb
B.
multiplying a binomial by a
polynomial
for example
(a+b)(c+d)=ac+bc+ad+bd
