Complex Numbers

Polynomials

Exponents and Roots

Quadratic Functions

Discriminant and x-intercepts

100

What is i^{2}

-1

100

What is this expression simplified?:

(x^{3} + 5x^{2} + 3x) / x

x^{2 }+ 5x + 3

100

What is (x^{3})^{5} simplified?

x^{15}

100

How many x-intercepts does this graph have?:

y=(x-4)^{2}

1

100

What is the discriminant of y = x^{2} - 9

36

200

What is i(5+2i)?

-2 + 5i

200

What is the degree of this polynomial?

x^{4} + 5x^{3} + 3x

4

200

What is the following expression simplified?:

x^{2} * x^{3} * x

x^{6}

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?

x^{3} - 2^{x} + 8

No

300

Write the square root of x^{5} as a fractional exponent.

x^{5/2}

300

Where is the vertex of this graph?:

y = (x-3)^{2} - 4

(3, -4)

300

What is the discriminant of 2x^{2} + 3x - 1?

17

400

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

10

400

What is the factored form of x^{2} - 81?

(x + 9)(x - 9)

400

Write the cube root of x^{4} as a fractional exponent.

x^{4/3}

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 = 3x^{2} - 6x + 2

2

500

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

37 - 3i

500

Find the product of:

(x^{2} + 3x + 1)(x - 2)

x^{3} + x^{2} - 5x - 2

500

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

m^{1/4}

500

What is the vertex of the following graph:

y = x^{2} + 2x + 4

(-1, 3)

500

What is the discriminant of this formula and how many x-intercepts does it have?

y = x^{2} - 3x + 7

-19, 0 real solutions (2 imaginary solutions)

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