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

Quiz
•
Mathematics
•
11th Grade
•
Hard
Anthony Clark
FREE Resource
15 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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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