Tutorial - How do we multiply complex numbers ex 13, (8 + i)(7 + 2i)

Tutorial - How do we multiply complex numbers ex 13, (8 + i)(7 + 2i)

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

11th Grade - University

Hard

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The video tutorial introduces the box method for multiplying binomials and trinomials, likening the process to calculating the area of a rectangle. The instructor demonstrates setting up a box divided into quadrants, placing terms along the top and side, and multiplying to find the area of each box. The tutorial covers simplifying and combining like terms, particularly focusing on complex numbers, and concludes with writing the final answer in the form of A + BI.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary concept behind the box method for multiplying binomials?

It simplifies using quadratic formulas.

It relies on factoring.

It represents products as areas.

It uses the distributive property.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When setting up the box for binomial multiplication, how many quadrants are created?

Six

Three

Four

Two

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example given, what is the result of multiplying 7 by i?

14i

i

7i

7

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the combined result of 16i and 7i?

23i

16i

9i

7i

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the expression 2i^2 simplified in the final answer?

As 2

As -2

As 4

As 0