Math 2 Final Review (Complex #s and Polynomials)

Front

What is the product of (i)(3i)?

Back

-3

Front

Multiply: (x+3)^2. Rewrite as (x+3)(x+3) and simplify.

Back

x^2 + 6x + 9

Front

What is the result of (2n + 2)(6n + 1)?

Back

12n^2 + 14n + 2

Front

Simplify the radical: √24.

Back

2√6

Front

What is the value of i^72?

Back

1

Front

Define a complex number.

Back

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit.

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as the square root of -1.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is expressed as a_nx^n + a_{n-1}x^{n-1} + ... + a_1x + a_0, where a_n ≠ 0.

Front

What is the degree of the polynomial 4x^3 + 2x^2 - x + 5?

Back

The degree is 3, which is the highest exponent of x.

Front

What is the result of multiplying two complex numbers (a + bi)(c + di)?

Back

ac + adi + bci + bdi^2 = (ac - bd) + (ad + bc)i.