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Dividing Algebraic Expressions

Description: This quiz is designed to assess your understanding of dividing algebraic expressions.
Number of Questions: 15
Created by:
Tags: algebra polynomials division
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What is the result of dividing (3x^2 + 6x - 9) by (x - 3)?

  1. (3x + 9)

  2. (3x - 9)

  3. (x + 3)

  4. (x - 3)

Show answer
Correct Option: A
Explanation:

To divide (3x^2 + 6x - 9) by (x - 3), we can use polynomial long division. The result is (3x + 9) with a remainder of 0.

Divide (x^3 - 2x^2 + x - 2) by (x - 2).

  1. (x^2 + 2x + 4)

  2. (x^2 - 2x + 4)

  3. (x^2 + 2x - 4)

  4. (x^2 - 2x - 4)

Show answer
Correct Option: A
Explanation:

Using polynomial long division, we find that the quotient is (x^2 + 2x + 4) with a remainder of 0.

What is the result of dividing (2x^3 + 3x^2 - 5x + 2) by (x + 1)?

  1. (2x^2 - x + 2)

  2. (2x^2 - x - 2)

  3. (2x^2 + x + 2)

  4. (2x^2 + x - 2)

Show answer
Correct Option: A
Explanation:

Using synthetic division, we find that the quotient is (2x^2 - x + 2) with a remainder of 0.

Divide (x^4 - 2x^3 + 3x^2 - 4x + 5) by (x - 1).

  1. (x^3 - x^2 + 2x - 3)

  2. (x^3 - x^2 + 2x + 3)

  3. (x^3 + x^2 + 2x + 3)

  4. (x^3 + x^2 + 2x - 3)

Show answer
Correct Option: A
Explanation:

Using polynomial long division, we find that the quotient is (x^3 - x^2 + 2x - 3) with a remainder of 2.

What is the result of dividing (3x^2 - 5x + 2) by (x - 2)?

  1. (3x - 11)

  2. (3x + 11)

  3. (3x - 1)

  4. (3x + 1)

Show answer
Correct Option: C
Explanation:

Using synthetic division, we find that the quotient is (3x - 1) with a remainder of 4.

Divide (2x^3 + 5x^2 - 3x + 4) by (x + 2).

  1. (2x^2 - x + 2)

  2. (2x^2 + x + 2)

  3. (2x^2 - x - 2)

  4. (2x^2 + x - 2)

Show answer
Correct Option: C
Explanation:

Using polynomial long division, we find that the quotient is (2x^2 - x - 2) with a remainder of 0.

What is the result of dividing (4x^2 - 9) by (2x + 3)?

  1. (2x - 3)

  2. (2x + 3)

  3. (2x - 6)

  4. (2x + 6)

Show answer
Correct Option: A
Explanation:

Using synthetic division, we find that the quotient is (2x - 3) with a remainder of 0.

Divide (x^3 - 3x^2 + 2x - 5) by (x - 1).

  1. (x^2 - 2x + 3)

  2. (x^2 - 2x - 3)

  3. (x^2 + 2x + 3)

  4. (x^2 + 2x - 3)

Show answer
Correct Option: A
Explanation:

Using polynomial long division, we find that the quotient is (x^2 - 2x + 3) with a remainder of 2.

What is the result of dividing (6x^2 - 11x + 3) by (3x - 1)?

  1. (2x - 3)

  2. (2x + 3)

  3. (2x - 1)

  4. (2x + 1)

Show answer
Correct Option: A
Explanation:

Using synthetic division, we find that the quotient is (2x - 3) with a remainder of 6.

Divide (x^4 - 2x^3 + 3x^2 - 4x + 5) by (x - 1).

  1. (x^3 - x^2 + 2x - 3)

  2. (x^3 - x^2 + 2x + 3)

  3. (x^3 + x^2 + 2x + 3)

  4. (x^3 + x^2 + 2x - 3)

Show answer
Correct Option: A
Explanation:

Using polynomial long division, we find that the quotient is (x^3 - x^2 + 2x - 3) with a remainder of 2.

What is the result of dividing (4x^2 - 9) by (2x + 3)?

  1. (2x - 3)

  2. (2x + 3)

  3. (2x - 6)

  4. (2x + 6)

Show answer
Correct Option: A
Explanation:

Using synthetic division, we find that the quotient is (2x - 3) with a remainder of 0.

Divide (x^3 - 3x^2 + 2x - 5) by (x - 1).

  1. (x^2 - 2x + 3)

  2. (x^2 - 2x - 3)

  3. (x^2 + 2x + 3)

  4. (x^2 + 2x - 3)

Show answer
Correct Option: A
Explanation:

Using polynomial long division, we find that the quotient is (x^2 - 2x + 3) with a remainder of 2.

What is the result of dividing (6x^2 - 11x + 3) by (3x - 1)?

  1. (2x - 3)

  2. (2x + 3)

  3. (2x - 1)

  4. (2x + 1)

Show answer
Correct Option: A
Explanation:

Using synthetic division, we find that the quotient is (2x - 3) with a remainder of 6.

Divide (x^4 - 2x^3 + 3x^2 - 4x + 5) by (x - 1).

  1. (x^3 - x^2 + 2x - 3)

  2. (x^3 - x^2 + 2x + 3)

  3. (x^3 + x^2 + 2x + 3)

  4. (x^3 + x^2 + 2x - 3)

Show answer
Correct Option: A
Explanation:

Using polynomial long division, we find that the quotient is (x^3 - x^2 + 2x - 3) with a remainder of 2.

What is the result of dividing (4x^2 - 9) by (2x + 3)?

  1. (2x - 3)

  2. (2x + 3)

  3. (2x - 6)

  4. (2x + 6)

Show answer
Correct Option: A
Explanation:

Using synthetic division, we find that the quotient is (2x - 3) with a remainder of 0.

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