5.1/5.3 Flashcards Preview

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Flashcards in 5.1/5.3 Deck (19):
1

Product of powers

A^m*A^n= A^m+n

2

Power of power

(A^m)^n= A^mn

3

Power of product

(ab)^m= a^m b^m

4

Negative exponent

A^-m = 1/a^m

5

Zero exponent

A^0= 1

6

Quotient of powers

A^m/ A^n = A^m-n

7

Power of a quotient

(A/b)^m = a^m/b^m

8

Scientific notation
(8.5*10^7)(1.2*10^3)

(8.5*1.2)(10^7*10^3)
Then solve

9

(A+B)(A-B) special pattern

A^2-b^2

10

(A+b)^3

A^3+3a^2b+3ab^2+b^3

11

(A-b)^3

A^3-3a^2b+3ab^2-b^3

12

By listing rational zeros which goes on top, leading coefficient or constant

Constant goes above leading coefficient

13

How to find real positive zeros

Changes of signs f(x)

14

How to find real negative zeros

Changes of signs f(-x)

15

How to find imaginary zeros

Pos + neg + img= total

16

When is a polynomial not a function

If variable is 1/x or x^-1

17

(A+b)(A-b)=

A^2-b^2

18

(A+b)^3
(A-b)^3

A^3+3a^2b+3ab^2+b^3
A^3-3a^2b+3ab^2-b^3

19

(A+b)^3
(A-b)^3

A^3+3a^2b+3ab^2+b^3
A^3-3a^2b+3ab^2-b^3