Semester Test

Front

If f(x) = (4x² + x) and g(x) = (x² + 2x), find f(x) - g(x).

Back

3x² - x

Front

How do you write a complex number?

Back

a + bi

Front

What is the value of i²?

Back

-1

Front

What is the value of i⁶⁶?

Back

-1

Front

What is the definition of 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

i is defined as the square root of -1.

Front

What is the result of (a + bi) + (c + di)?

Back

(a + c) + (b + d)i

Front

What is the result of (a + bi)(c + di)?

Back

(ac - bd) + (ad + bc)i

Front

What is the conjugate of a complex number a + bi?

Back

The conjugate is a - bi.

Front

What is the modulus of a complex number a + bi?

Back

The modulus is √(a² + b²).