Complex Numbers and Solving Polynomials Test Review

Front

What is the product of (2i)(3i)?

Back

-6

Front

If the discriminant is negative, what can be said about the solutions of the quadratic equation?

Back

The quadratic has 2 Imaginary Solutions.

Front

Identify the values of a, b, and c in the quadratic equation: 4x² - 8x = 3.

Back

a = 4, b = -8, c = -3

Front

What is the quadratic formula used for?

Back

To find the solutions of a quadratic equation in the form ax² + bx + c = 0.

Front

What is the sum of (5 - 2i) and (-7 + 8i)?

Back

-2 + 6i

Front

What does the term 'complex number' refer to?

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 quadratic equation?

Back

The standard form is ax² + bx + c = 0, where a, b, and c are constants.

Front

What does the discriminant of a quadratic equation tell us?

Back

The discriminant (b² - 4ac) determines the nature of the roots: positive means 2 real solutions, zero means 1 real solution, and negative means 2 imaginary solutions.

Front

How do you convert a complex number from rectangular form to polar form?

Back

Use the formula r(cos θ + i sin θ), where r is the magnitude and θ is the argument.