Dividing Polynomials with Synthetic Division

Dividing Polynomials with Synthetic Division

12th Grade

8 Qs

quiz-placeholder

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Dividing Polynomials with Synthetic Division

Dividing Polynomials with Synthetic Division

Assessment

Quiz

Mathematics

12th Grade

Practice Problem

Hard

Created by

FELEICIA COVINGTON

Used 2+ times

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8 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Perform synthetic division to divide (3x^3 + 5x^2 - 2x + 7) by (x - 2).

3x^2 + 11x + 22 + 51/(x - 3)

3x^2 + 11x + 22 + 51/(x + 1)

3x^2 + 11x + 22 + 51/(x - 2)

3x^2 + 11x + 22 + 51/(x + 2)

Answer explanation

The synthetic division process correctly yields 3x^2 + 11x + 22 with a remainder of 51/(x - 2), leading to the correct answer choice.

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Divide (4x^4 - 2x^3 + 6x^2 - 8x + 5) by (x + 3) using synthetic division.

4x^3 - 14x^2 + 48x - 152 + 461/(x - 3)

4x^3 - 14x^2 + 48x - 152 + 461/(x + 3)

4x^3 - 14x^2 + 48x - 152 + 461/(x - 5)

4x^3 - 14x^2 + 48x - 152 + 461/(x + 2)

Answer explanation

Choose the correct answer that matches the result of dividing (4x^4 - 2x^3 + 6x^2 - 8x + 5) by (x + 3) using synthetic division.

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the quotient when (2x^3 - 5x^2 + 3x - 1) is divided by (x + 4) using synthetic division.

2x^2 - 5x + 15

2x^2 - 3x + 15

2x^2 - 3x + 5

2x^2 - 3x + 10

Answer explanation

To find the quotient using synthetic division, the coefficients of the dividend are used. Performing the division, we get 2x^2 - 3x + 15 as the quotient.

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use synthetic division to divide (6x^4 + 3x^3 - 2x^2 + 5x - 1) by (x - 1).

Quotient: 4x^3 + 6x^2 + 5x + 9, Remainder: 7

Quotient: 7x^3 + 8x^2 + 6x + 11, Remainder: 10

Quotient: 5x^3 + 7x^2 + 3x + 10, Remainder: 8

Quotient: 6x^3 + 9x^2 + 7x + 12, Remainder: 11

Answer explanation

Using synthetic division, we find the quotient: 6x^3 + 9x^2 + 7x + 12 and remainder: 11, which matches the correct answer choice.

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the result of dividing (5x^3 - 2x^2 + 4x - 7) by (x + 2) using synthetic division?

5x^2 - 12x + 28 - 47/(x + 2)

5x^2 - 12x + 28 - 47/(x - 1)

5x^2 - 12x + 28 - 47/(x - 2)

5x^2 - 12x + 28 - 47/(x + 3)

Answer explanation

The correct answer is 5x^2 - 12x + 28 - 47/(x + 2) obtained by dividing (5x^3 - 2x^2 + 4x - 7) by (x + 2) using synthetic division.

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Divide (8x^5 - 4x^4 + 2x^3 - 6x^2 + 9x - 3) by (x - 3) using synthetic division.

8x^4 + 20x^3 + 62x^2 + 180x + 549 + 1650/(x - 5)

8x^4 + 20x^3 + 62x^2 + 180x + 549 + 1650/(x - 2)

8x^4 + 20x^3 + 62x^2 + 180x + 549 + 1650/(x - 4)

8x^4 + 20x^3 + 62x^2 + 180x + 549 + 1650/(x - 3)

Answer explanation

The correct answer is 8x^4 + 20x^3 + 62x^2 + 180x + 549 + 1650/(x - 3) as obtained by dividing using synthetic division.

7.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Perform synthetic division to divide (7x^4 + 2x^3 - 5x^2 + 3x + 1) by (x + 1).

7x^3 - 5x^2 + 1

7x^3 - 5x^2 + 3

7x^3 - 5x^2 - 3

7x^3 - 5x^2 + 3

Answer explanation

Performing synthetic division, we get the quotient 7x^3 - 5x^2 + 3. Therefore, the correct answer is 7x^3 - 5x^2 + 3.

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