Algebra 89 - Multiplying Polynomial Functions

Algebra 89 - Multiplying Polynomial Functions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Wayground Content

FREE Resource

The lecture by Professor von Schmohawk covers polynomial operations, focusing on multiplication using the FOIL method. It explains how to multiply binomials and polynomials, discusses the concept of zeros and multiplicity, and demonstrates designing polynomial functions with specific graph characteristics. The lecture concludes with advanced multiplication techniques and a summary of polynomial operations.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of adding or subtracting polynomial functions?

A constant function

A new polynomial function with different characteristics

A new polynomial function with the same characteristics

A linear function

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the FOIL method help us remember when multiplying binomials?

The order of subtraction

The order of division

The order of addition

The order of multiplication

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Is it necessary to multiply terms in a specific order when using the FOIL method?

No, but only for trinomials

Yes, but only for binomials

No, any order is fine as long as each term is multiplied

Yes, always follow the FOIL order

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is confirmed by multiplying the binomials X - 2, X + 1, and X + 1?

They are factors of a different polynomial

They are factors of the polynomial X^3 - 3X - 2

They are factors of a linear function

They are not factors of the polynomial

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between the zeros of a polynomial function and its factors?

Zeros are always less than factors

Zeros are identical to the zeros of its factors

Zeros are always greater than factors

They are unrelated

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the multiplicity of a factor affect the graph of a polynomial function?

It affects the graph's behavior at the intercept

It has no effect on the graph

It determines the color of the graph

It changes the degree of the polynomial

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the graph of a polynomial function if a factor has an odd multiplicity?

The graph will disappear

The graph will become a straight line

The graph will cross the X-axis

The graph will touch the X-axis

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