Algebra 2 - How to multiply two binomials with complex numbers, (3 - 2i) (4 + sqrt(-9))

The video tutorial covers the concept of handling square roots of negative numbers by expressing them in terms of complex numbers. The instructor demonstrates the use of the FOIL method to multiply complex numbers and emphasizes the importance of simplifying expressions and combining like terms. The session concludes with a review of the problem-solving process and encourages students to ask questions for clarity.

What is the square root of a negative number expressed as in terms of imaginary numbers?

• Three times -2i

• Nine times 1

• Nine times -1

• Three times 2i

Which method can be used to multiply complex numbers?

• FOIL method

• Box method

• Both FOIL and Box methods

• Neither FOIL nor Box methods

What is the result of multiplying -2i by 3i?

• 6i

• 6i^2

• -6i^2

• -6i

What does i squared represent?

• i

• -1

• -i

• 1

What is the simplified form of 12 - 6i^2?

• 12

• 24

• 18

• 6