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complex number

includes real and imaginary numbers

Rational Number

Any number that can be expressed as a ratio of two integers. Example; 6 can be expressed as 6/1, and 0.5 as 1/2.

Irrational Number

A number that cannot be written as a fraction with a numerator and a denominator that are integers. The decimal representation of a rational number either ends or repeats.

imaginary unit

i, the square root of -1

complex conjugate

the value of 1 represented by the denominator of a complex fraction with opposite sign

complex plane

coordinate system where real numbers intersect with imaginary numbers

imaginary number

the square root of a negative number

real numbers

Any Number

i

the square root of -1

Complex Numbers

A combination of a real and an imaginary numbers (a + bi).

Complex conjugates

Two complex numbers of the form (a+bi) and (a-bi).

sum

the answer to an addition problem

difference

the answer to a subtraction problem

product

the answer to a multiplication problem

quotient

the answer to a division problem

f(x)=x²+6x+18

The zeros are -3+3i and -3 - 3i

The zeros are:

f(x) = x³(x² - 4)(x² + 16)

2 - i

(3 - 2i) + (-1 + i)

-1 + 3i

(2 - i) - (3 - 4i)

1 + 6i

(4 + i) - (3 - 5i)

11 - 23i

(5 - i)(3 - 4i)