Learning how to divide two polynomials using long division

Learning how to divide two polynomials using long division

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

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The video tutorial explains polynomial division, starting with setting up the problem by adding missing terms for clarity. It guides through the division process step-by-step, highlighting common mistakes and how to avoid them. The tutorial concludes with handling remainders and writing the final answer.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it suggested to add a placeholder term like 0X in polynomial division?

To change the divisor

To eliminate the remainder

To make the division process easier to follow

To increase the degree of the polynomial

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in dividing X^2 into 3X^4?

Divide 3X^4 by X^2

Subtract X^2 from 3X^4

Multiply X^2 by 3

Add X^2 to 3X^4

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to align terms correctly during polynomial division?

To increase the remainder

To change the dividend

To simplify the divisor

To ensure like terms are combined

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you do when subtracting terms in polynomial division?

Ignore the signs

Be careful with the signs

Multiply the terms

Add the terms

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you handle a negative term when dividing polynomials?

Multiply it by the divisor

Add it to the next term

Ignore the negative sign

Subtract it carefully, considering the sign

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final step in writing the answer for polynomial division with a remainder?

Multiply the remainder by the divisor

Ignore the remainder

Subtract the remainder from the quotient

Add the remainder to the quotient

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How should the remainder be expressed in the final answer of polynomial division?

Over the divisor

As a separate term

Subtracted from the dividend

Multiplied by the quotient