5.1/5.3 Flashcards
Product of powers
A^m*A^n= A^m+n
Power of power
(A^m)^n= A^mn
Power of product
(ab)^m= a^m b^m
Negative exponent
A^-m = 1/a^m
Zero exponent
A^0= 1
Quotient of powers
A^m/ A^n = A^m-n
Power of a quotient
(A/b)^m = a^m/b^m
Scientific notation
8.510^7)(1.210^3
(8.51.2)(10^710^3)
Then solve
(A+B)(A-B) special pattern
A^2-b^2
(A+b)^3
A^3+3a^2b+3ab^2+b^3
(A-b)^3
A^3-3a^2b+3ab^2-b^3
By listing rational zeros which goes on top, leading coefficient or constant
Constant goes above leading coefficient
How to find real positive zeros
Changes of signs f(x)
How to find real negative zeros
Changes of signs f(-x)
How to find imaginary zeros
Pos + neg + img= total
When is a polynomial not a function
If variable is 1/x or x^-1
(A+b)(A-b)=
A^2-b^2
(A+b)^3
(A-b)^3
A^3+3a^2b+3ab^2+b^3
A^3-3a^2b+3ab^2-b^3
(A+b)^3
(A-b)^3
A^3+3a^2b+3ab^2+b^3
A^3-3a^2b+3ab^2-b^3
