an imaginary number is a number in the form bi where b is a real number and i is the square root pf -1

complex number are of the for a+bi a and b are real numbers i= squareroot of -1
(x,y)--->(a,bi)
complex numbers includes real numbers and imaginary number
The absolute value of any complex number a + bi is the distance from (a, b) to (0, 0) in the complex plane.
Because |a + bi| is equal to a distance,
|a + bi| will always positive real number. add (b/2)^2 to both side of equation and factor the square of a binomial is a perfect-square binomial b= the square root of c doubled

multiplicity is the number of terms of the parethesis in the factored form of the polynomial' if that number is a even number then it'll only touch the x -asxis if it's odd it will go through the x-axis an=a1rn-1 Sn=a1(1-rn)/(1-r) where r cannot equal 1 and n is how many in the geometric series
An inifinite geometric series converges if the common ratio a proper fraction
S= a/(1-r) cannot solve if {r}>1 because the series diverges as IaI increases graph narrows vice-versa odd n are symmetric to the origin of the graph the maximum number of turning points is always 1 less than the degree of the polynomial

The additive inverse of the complex number a+bi is -a-bi. The sum of a complex number and its additive inverse is zero.
Example: (5+4i)+(-5-4i)=0

(s*t)(6) = S(6)*t(6)
The inverse of a function maps the range or output or a give function back