Powers of i
Simplify each power of i:
1. i1
2.i2
3. i3
4. i4
What is i, -1, -i, and 1?
Identify the real and imaginary parts of -12+7i
What is real = -12 and imaginary = 7?
Simplify (2+3i) + (4+7i)
What is 6+10i?
Factor and find the roots of the equation:
x4 - 144 = 0
What is (x2 - 12)(x2 + 12) = 0?
What is x = +- sqrt 12 and +- i sqrt 12 which can be simplified to x = +-2 root 3 and +-2i roots 3?
Simplified answer +100 bonus
State the purpose of the quadratic formula
What is solving a quadratic equations?
Simplify i248
What is 1?
Classify -6i as real, imaginary, and/or complex
What is imaginary and complex?
Simplify (6+5i) - (-3-2i)
What is 9+7i?
Factor and find the roots of the equation:
-6x + 24x5 = 0
What is -6x(1+2x2)(1-2x2) = 0 or 6x(-1+2x2)(1+2x2) = 0?
What is x = 0, +- sqrt 1/2, +- i sqrt 1/2?
Write out the quadratic formula
What is x = (-b +- sqrt of b2 - 4ac) / 2a ?
Simplify i714
What is -1?
Classify 3 - 4i as real, imaginary, and/or complex
What is complex?
Simplify (7+i)(7-i)
What is 50?
Factor and find the roots for the equation:
x6 - x4 - 25x2 + 25 = 0
What is (x - 1)(x + 1)(x2 - 5)(x2 + 5) = 0?
What is x = +-1, +- sqrt 5, and +- i sqrt 5?
Solve:
x2 - 6x + 25 = 0
What is x = 3 +- 4i?
Simplify i4975
What is -i?
Describe the process of graphing the complex number -6 + 7i on the complex plane. Be specific!
Where is from the origin, (0, 0), go left 6 and then up 7?
Simplify (2+3i)(4+7i)
What is -13+26i?
Factor and find the roots for the equation:
x4 + 2x2 - 48 = 0
What is (x2 - 6)(x2 + 8) = 0?
What is x = +- sqrt 6 and +-2i sqrt 2?
Solve:
x3 - 2x2 + 17x = 0
What is x = 0, 1 +- 4i?
Simplify i4039 x i1284
What is -i?
State the complex numbers from the descriptions of points A and B below:
A: From the origin, left 5 and down 7
B: From the origin, up 6
What is A = -5 - 7i and B = 6i?
Simplify -9 + 3i9 - 14i7 + 16i2 - i6 - 4i12
What is -28 + 17i?
Factor and find the roots for the equation:
x7 - 3x5 - 25x3 + 75x = 0
What is x(x2 - 3)(x2 + 5)(x2 - 5) = 0?
What is x = 0, +- sqrt 3, +- sqrt 5, +- i sqrt 5?
Solve:
x3 - 4x2 + 8x = 0
What is x = 0, 2 +- 2i?