Polynomial Functions and Complex Numbers

Polynomial Functions and Complex Numbers

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Hard

Created by

Mia Campbell

FREE Resource

The video tutorial explains how to find a polynomial function with real coefficients given specific zeros, including complex numbers. It covers the concept of complex conjugate pairs, the relationship between zeros and factors, and the process of simplifying and multiplying polynomial expressions. The tutorial concludes with combining terms to form the final polynomial equation.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of complex conjugate pairs in polynomial functions?

They ensure the polynomial has real coefficients.

They make the polynomial function discontinuous.

They eliminate the need for real zeros.

They simplify the polynomial to a linear function.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a polynomial has a zero at 4, what factor must it include?

x - 4

x + 2

x - 2

x + 4

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many products result from multiplying two binomials with three terms each?

12

6

9

3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of clearing parentheses in the binomial factors?

To simplify the multiplication process.

To change the order of multiplication.

To eliminate complex numbers.

To reduce the polynomial degree.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when you multiply -3i by +3i?

+9i

-9i

+9

-9

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of combining the terms -2x and -2x?

-2x

+4x

0

-4x

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of i squared?

0

-1

i

1

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