A.2-A.5 Flashcards
a^m times a^n
a^m+n
a^m divided by a^n
a^m-n
(a^m)^n
a^m times n
a^-n
1/a^n
a^0
1
(ab)^m
a^m times b^m
(a/b)^m
a^m/b^m
What is 0^0
Undefined
A^p/r
(r root of a)^p
Or r root of a^p
Can you add these numbers?
Square root of 2 and square root of 3
No, must have same root and same number being rooted
What are the two conjugates?
(a + b) for a - b
(a - b) for a + b
What would you do if there was a root of a root?
Multiply them. Ex: square root of a square root is a fourth root
What do you call a polynomial with one term?
A monomial
What do you call a polynomial with two terms?
A binomial
What do you call a polynomial with three terms?
A trinomial
What is (a+b)(a-b)?
A^2 - b^2
What is (a+b)^2
a^2 + 2ab + b^2
What is (a-b)^2
a^2 - 2ab + b^2
What is (a+b)^3
a^3 + 3a^2b + 3ab^2 + b^3
What is (a-b)^3
a^3 - 3a^2b + 3ab^2 - b^3
In reverse foil what is -,+?
-,-
What is the factor of (a^2 - b^2)?
(a + b)(a - b)
What is the factor of a^3 + b^3?
(a + b)(a^2 - ab + b^2)
What is the factor of a^3 - b^3?
(a - b)(a^2 + ab + b^2)
What is the definition of an identity equation?
It is always true Ex: 2(x + 4)=2x + 8
What is the definition of a conditional equation?
It is sometimes true Ex: 2x - 1= 11 if x=6
What is the quadratic formula?
X= -b +- /(b^2 -4ac) /2a
Negative b plus or minus the square root of b squared minus 4ac all over 2a
