Complex Numbers and Operations

This video tutorial explains how to multiply complex numbers. It starts with multiplying a monomial by a binomial using distribution, emphasizing the importance of recognizing i squared as negative one. The tutorial then demonstrates multiplying two binomials using the box method, combining like terms, and ensuring the result is in the standard form of a complex number.

What is the first step in multiplying a monomial by a binomial?

• Combine like terms

• Distribute the monomial to each term in the binomial

• Add the coefficients

• Convert I squared to negative 1

What is the result of multiplying -5i by 2?

• -10i

• 10i

• -7i

• 35i

What does I squared equal?

• 1

• -1

• i

• -i

In the form a + bi, which part represents the real number?

• a

• b

• a + b

• i

What method is used to multiply two binomials in the video?

• Cross multiplication

• FOIL method

• Distributive property

• Box method

What is the product of 6i and 2?

• 6i

• 8i

• 12i

• 12

What is the result of multiplying 6i by 4i?

• 24i cubed

• 24i squared

• 24

• 24i

What is the result of combining 12i and -4i?

• 8i

• 16i

• 12i

• -4i

What is the final result of 24 times -1?

• 0

• 1

• 24

• -24

What is the final form of the result in the video?

• a - bi

• a + b

• a + bi

• bi + a