Definitions
Equations
Complex Numbers
Operations
Polynomials
100
A Term is either a single number or a variable, or numbers and variables multiplied together.
What is a Term?
100
The solution is the ordered pair, (4, 7).
x + y = 11 3x - y = 5
100
(0; 0) + (a; b) = (a + 0; b + 0) = (a; b)
(a; b) + (c; d) = (a + c; b + d)
100
89
98+(-9)=
100
y2 - 4 = (y + 2)(y - 2)
Factor y2 - 4
200
An Expression is a group of terms (the terms are separated by + or - signs)
What is an Expression
200
The solution is the ordered pair, (-1, 4).
5x + 3y = 7 3x - 5y = -23
200
(0; 1)(0; 1) = (0 . 0
(1; 0)(c; d) = (1 . c ; 0 . d; 1 . d + 0 . c) = (c; d)
200
26
32-2+4-8=
200
4(y2 - 2)
Factor out of a common factor of 4y2 - 8.
300
The exponent (such as the 2 in x2) says how many times to use the value in a multiplication.
What is an exponent
300
x = 14
x - 4 = 10
300
z2 = (x + iy)2 = x2
z = x + iy;
300
71
67+(-1)+10-5
300
(x - 15)(x + 1)
Factor: x2 - 14x - 15
400
A polynomial can have constants, variables and the exponents 0,1,2,3,...
What is a Polynomial
400
x = - 1
5x - 6 = 3x - 8
400
x = u2
x + iy = u2
400
98
90+9-10+6-12+15
400
(x + 5)(4x - 3)
Factor 4x2 - 3x + 20x - 15
500
A Variable is a symbol for a number we don't know yet. It is usually a letter like x or y.
What is a Variable
500
x=-21/4
2(3x - 7) + 4 (3 x + 2) = 6 (5 x + 9 ) + 3
500
xu
(x + iy)(u + iv) = 1
500
96
46-8+83-25
500
(5x + y)(25x2 - 5xy + y2)
Factor 125x3 + y3
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