Algebra 2 - Multiply an imaginary number to a complex number by distributive property, 3i(2 + 2i)

The video tutorial covers solving a problem involving complex numbers, focusing on the distributive properties and multiplication of complex numbers. It emphasizes the importance of expressing complex numbers in standard form to avoid errors in math tests.

What is the first step in solving the problem introduced at the beginning of the class?

• Add 3I to 2 and 2I

• Distribute 3I to 2 and 2I

• Subtract 3I from 2 and 2I

• Multiply 3I by itself

When multiplying 3I by 2, what is the result?

• 6

• 6I

• 3

• 3I

What does I squared represent in complex numbers?

• 0

• -1

• I

• 1

Why is it important to write complex numbers in standard form?

• To make calculations easier

• To avoid errors in online tests

• To ensure the answer is positive

• To simplify the expression

What is the correct standard form of the expression 6I - 6?

• 6 - 6I

• 6I - 6

• -6 + 6I

• -6I + 6