Complex Numbers
Imaginary Numbers
Graphing Polynomials
Dividing Polynomials
x-intercepts and roots
100
What two parts make up a complex number?
Real Part and Imaginary Part
100
What is the following equal to?
i^2
-1
100
Will this graph cross or bounce off the x-axis?
y=x^2
bounce
100
How would you set up the following division problem using the long division method:
(9x)/3
100
What is y-value for any x-intercept?
y=0
200
How do we add complex numbers?
Add real to real and imaginary to imaginary
200
Rewrite the following with an imaginary number
4i
200
State the degree of the polynomial
y=(x-3)^2(x-4)^3(x-5)
6
200
Divide the following expression:
(18x)/2
9x
200
State the x-intercepts of the following polynomial.
y=(x+2)(x-4)
x=-2
x=4
300
Add the following:
(4+2i)+(-2+3i)
2+5i
300
Multiply the following
(3i)(2i)
-6
300
State the leading coefficient and whether your graph is positive or negative orientation.
y=3x^2-5x^4+2x-4
-5
Negative orientation
300
What goes in the missing square?
2x^3
300
State the roots of the following polynomial
y=x(x^2-25)
x=0
x=5
x=-5
400
Subtract the following:
(5+3i)-(3+3i)
2
400
Evaluate the following
(5i^2) (3i^2)
15
400
State the degree and whether the ends with face the same or opposite directions:
y=3x^2-5x^4+2x-4
degree: 4
Same direction
400
Solve the following expression:
(x^2+2x-15)/(x+5
(x-3)
400
How many times with this graph touch the x-axis?
y=(x^2+36)(x-2)(x+4)
two times at
x=2
x=-4
500
Multiply the following:
(4-3i)(4+3i)
25
500
What does this equal to?
i^8
1
500
y=x(x-2)^2(x-4)^3
Sketch a quick graph of the following polynomial:
500
Divide the following:
(x^3-4x^2+6x-4)/(x-2)
x^2-2x+2
500
State the roots:
y=(x^2+9)(x^2-16)
x=4
x=-4
x=-3i
x=3i