Reading...
Play button
Play button
Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
13 Cards in this Set
- Front
- Back
- 3rd side (hint)
|
Common Factor
|
ax + ay = a(x + y)
|
|
|
|
Difference of Squares
|
x^2 - y^2 = (x + y)(x + y)
|
|
|
|
Perfect Square Trinomial
|
x^2 + 2xy + y^2 = (x + y)^2
|
|
|
|
General Trinomial
|
(ac)x^2 + (ad + bc)x + bd = (ax + b)(cx + d)
|
|
|
|
Quadratic Formula
|
x = -b +- sqrt b^2 - 4ac / 2a
|
|
|
|
Complex Number
|
a = bi where a and b are real numgers and i = sqrt -1
|
Its conjugate is a - bi
|
|
|
Adding Operation on Complex Numbers
|
(a + bi) + (c + di) = (a + c) + (b + d)i
|
|
|
|
Subtracting Operation on Complex Numbers
|
(a + bi) - (c + di) = (a - c) + (b - d)i
|
|
|
|
Multiplying Operatiion on Complex Numbers
|
(a + bi)(c + di) = (ac - bd) + (ad + bc)i
|
Replace i^2 with -1
|
|
|
Dividing Operation on Complex Numbers
|
a + bi / c + di = (a +bi)(c - di) / (c = di)(c - di) = (ac + bd / c^2 + d^2) + ( (ba - ad)i / c^2 + d^2
|
multiplly the numerator and denominator by the conjugate of the denominator
|
|
|
Factor Theorem
|
(x - r) is a factor of a polynomial equation if and only if F(r) = 0
|
(x - 2)
P(x) = x^3 - 2x^2 + 3x - 6 P(x) = 2^3 - 2(2)^2 + 3(2) - 6 |
|
|
Rational Roots Theorem
|
if b/c is a root of an equation with the interger coefficients F(x) = a sub n x to the power of n + a sub n-1 x to the power of n-1 ...+ a sub 1 x + a sub 0 then b is a factor of a sub 0 and c is a factor of a sub n
|
|
|
|
Properties of Inequalities
|
if a < b then a + c < b + c
if a < b and c > 0 then ac < bc If a < b and c < 0 then ac > bc If b > 0 then l a l < b is eqquivalent to -b< a <b If b > 0 then l a l > 0 is equivalent to a > b or a < -b |
let a, b, c be real numbers
|
