Complex Numbers
Polynomials
Exponents and Roots
Quadratic Functions
Discriminant and x-intercepts
100

What is i2

-1

100

What is this expression simplified?:

(x3 + 5x2 + 3x) / x

x+ 5x + 3

100

What is (x3)5 simplified?

x15

100

How many x-intercepts does this graph have?:

y=(x-4)2

1

100

What is the discriminant of y = x2 - 9

36

200

What is i(5+2i)?

-2 + 5i

200

What is the degree of this polynomial?

x4 + 5x3 + 3x

4

200

What is the following expression simplified?:

x2 * x3 * x

x6

200

Where is the vertex of this graph?:

y=(x-5)2 + 3

(5,3)

200

Write the equation of a graph that passes through x-intercepts (4,0) and (-5,0)

y = a(x-4)(x+5)

300

What is 25(3 + i)?

75 + 25i

300

Is this a polynomial?

x3 - 2x + 8

No

300

Write the square root of x5 as a fractional exponent.

x5/2

300

Where is the vertex of this graph?:

y = (x-3)2 - 4

(3, -4)

300

What is the discriminant of 2x2 + 3x - 1?

17

400

What is (3 + i)(3 - i)?

10

400

What is the factored form of x2 - 81?

(x + 9)(x - 9)

400

Write the cube root of x4 as a fractional exponent.

x4/3

400

What is the axis of symmetry of the following graph?:

y = (x - 1)2 + 7

x = 1

400

How many solutions does this equation have?:

0 = 3x2 - 6x + 2

2

500

What is (5 + i)(7 - 2i)?

37 - 3i

500

Find the product of:

(x2 + 3x + 1)(x - 2)

x3 + x2 - 5x - 2

500

Write the 4th root of m as a fractional exponent.

m1/4

500

What is the vertex of the following graph:

y = x2 + 2x + 4

(-1, 3)

500

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)

Click to zoom