Complex Operations
What does I2 equal?
-1
y= -2(x+1)2 (x-4)
(x2+3x-18)/(x-3)=(x+6)
(x+6)(x-3)=x2+3x-18
Or
(x-3)(x+6)=x2+3x-18
b2-4ac
What is the last day of summer?
Simplify (9-2i)+(11-4i)
19-6i
What are the zeros of
y= (x-1)(x+2)2
x=1 and x=-2
Divide x3-8x2+25x-50/x-5
x2-3x+10
What is the other complex conjugate solution to
-1+3i
-1-3i
Name one of the top 3 listed places to travel this summer
Florida and Cancun
Simplify 5(3i)2
-45
What is the degree of the polynomial?
y= x(x+2)(x-7)2
4
Divide 2x2+7x-39 by 2x-7
x+7 (remainder 10/2x-7)
True or false:
A degree 3 polynomial can turn up to 2 turns.
True. The turns+1=degree
What fruit is July's national fruit month?
July is national blueberry month.
Simplify (3-5i)(3+5i)
34
Identify where the graph bounces
(x-5)2(x+3)(x-4)(x+3)
x=-3 and x=5
Determine if x+2 is a factor of
3x4+7x3+3x2-x-4
No
True or false:
If the discriminant is negative then the polynomial has no roots.
False. The solutions are complex.
What day is the summer solstice?
-i
What is the y-intercept of the graph?
y=(x-4)(x-5)(x-1)3
(0,-20)
Divide to find all roots
x3-x2+3x+5
x=-1
x= 1+2i
x=1-2i
What is the factored form of x3-5x2-57x-86?
(x2-7x-43)(x+2)
True or false:
The hottest day on record in Ohio was July 21, 1934
113 degrees!