Factor Theorem and Long Division

Factor Theorem and Long Division

11th Grade

15 Qs

quiz-placeholder

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Factor Theorem and Long Division

Factor Theorem and Long Division

Assessment

Quiz

Mathematics

11th Grade

Hard

Created by

Anthony Clark

FREE Resource

15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Apply long division to find the remainder when dividing 2x^4 - 5x^3 + 3x^2 - 7x + 1 by x - 3.

The remainder is -3

The remainder is 25

The remainder is 145

The remainder is 10

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Apply long division to divide 3x^3 - 6x^2 + 9x - 12 by x + 2.

The quotient is 3x^2 - 12x + 33 with a remainder of -78.

The quotient is 4x^2 - 16x + 44 with a remainder of -112.

The quotient is 2x^2 - 8x + 22 with a remainder of -56.

The quotient is 5x^2 - 20x + 55 with a remainder of -110.

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Apply long division to divide 4x^4 - 8x^3 + 12x^2 - 16x + 20 by 2x - 4.

x^3 - 2x^2 + 4x - 6

4x^3 - 8x^2 + 12x - 16

3x^3 - 6x^2 + 9x - 10

2x^3 - 4x^2 + 8x - 12

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Apply long division to find the quotient and remainder when dividing 5x^5 - 10x^4 + 15x^3 - 20x^2 + 25x - 30 by x - 1.

The quotient is 5x^4 - 5x^3 + 10x^2 - 10x + 15 and the remainder is 30

The quotient is 5x^4 - 5x^3 + 10x^2 - 10x + 15 and the remainder is -15.

The quotient is 5x^3 - 5x^2 + 10x - 10 and the remainder is 15

The quotient is 5x^5 - 10x^4 + 15x^3 - 20x^2 + 25x - 30 and the remainder is 0

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use the factor theorem to determine if x - 3 is a factor of 2x^3 - 5x^2 + 3x - 6.

No

Not sure

Yes

Maybe

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use the factor theorem to determine if x + 2 is a factor of 3x^4 + 2x^3 - 5x^2 + 4x - 8.

Yes

Not sure

No

Maybe

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use the factor theorem to determine if x + 4 is a factor of 5x^6 + 3x^5 - 2x^4 + 7x^3 - 4x^2 + 9x - 6.

Not sure

Yes

No

Maybe

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