How to determine if a factor is a factor of a polynomial using factor theorem

How to determine if a factor is a factor of a polynomial using factor theorem

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to determine if x-3 is a factor of a polynomial using the factor theorem. It begins with a basic understanding of factors, then applies this to polynomials. The factor theorem is introduced as a method to check if x-3 is a factor by plugging in values and checking for a remainder of zero. The tutorial concludes by verifying the factorization without using long or synthetic division.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary question being addressed in the first section?

How to solve quadratic equations?

Is x minus 3 a factor of a polynomial?

How to perform long division?

What is the remainder theorem?

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

According to the factor theorem, what should be the result when a zero is plugged into the function?

The result should be 1

The result should be negative

The result should be undefined

The result should be 0

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between x minus 3 and x equals 3 in the context of the factor theorem?

Both are zeros

x minus 3 is the factor, x equals 3 is the zero

x minus 3 is the zero, x equals 3 is the factor

Both are factors

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the practical example, what is the result of the polynomial calculation when x equals 3?

The result is 18

The result is -18

The result is 0

The result is 27

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it unnecessary to perform long division in the final section?

Because the polynomial is too complex

Because the factor theorem already proved x minus 3 is a factor

Because long division is not applicable

Because synthetic division is preferred