Precalculus Review Flashcards
1
Q
(a+b)^2
A
a^2 + 2ab + b^2
2
Q
(a-b)^2
A
a^2 - 2ab - b^2
3
Q
(a+b)^3
A
a^3 + 3a^2b + 3ab^2 + b^3
4
Q
(a-b)^3
A
a^3 - 3a^2b + 3ab^2 - b^3
5
Q
a^2 - b^2
A
(a + b)(a - b)
6
Q
a^3 - b^3
A
(a - b)(a^2 + ab + b^2)
7
Q
a^n - b^n
A
(a - b)(a^(n-1) + a^(n-2)b + … + ab^(n-2) + ab^(n-1))
8
Q
ax^2 + bx + c = 0
A
(-b +/- sqrt(b^2 - 4ac))/(2a)
9
Q
If b^2 - 4ac > 0 then…
A
Equation has two real roots.
10
Q
If b^2 - 4ac = 0 then…
A
Equation has one real root.
11
Q
If b^2 - 4ac < 0 then…
A
Equation has two complex roots (no real roots).
