Complex Numbers
What is i2
-1
What is this expression simplified?:
(x3 + 5x2 + 3x) / x
x2 + 5x + 3
What is (x3)5 simplified?
x15
How many x-intercepts does this graph have?:
y=(x-4)2
1
What is the discriminant of y = x2 - 9
36
What is i(5+2i)?
-2 + 5i
What is the degree of this polynomial?
x4 + 5x3 + 3x
4
What is the following expression simplified?:
x2 * x3 * x
x6
Where is the vertex of this graph?:
y=(x-5)2 + 3
(5,3)
Write the equation of a graph that passes through x-intercepts (4,0) and (-5,0)
y = a(x-4)(x+5)
What is 25(3 + i)?
75 + 25i
Is this a polynomial?
x3 - 2x + 8
No
Write the square root of x5 as a fractional exponent.
x5/2
Where is the vertex of this graph?:
y = (x-3)2 - 4
(3, -4)
What is the discriminant of 2x2 + 3x - 1?
17
What is (3 + i)(3 - i)?
10
What is the factored form of x2 - 81?
(x + 9)(x - 9)
Write the cube root of x4 as a fractional exponent.
x4/3
What is the axis of symmetry of the following graph?:
y = (x - 1)2 + 7
x = 1
How many solutions does this equation have?:
0 = 3x2 - 6x + 2
2
What is (5 + i)(7 - 2i)?
37 - 3i
Find the product of:
(x2 + 3x + 1)(x - 2)
x3 + x2 - 5x - 2
Write the 4th root of m as a fractional exponent.
m1/4
What is the vertex of the following graph:
y = x2 + 2x + 4
(-1, 3)
What is the discriminant of this formula and how many x-intercepts does it have?
y = x2 - 3x + 7
-19, 0 real solutions (2 imaginary solutions)