Polynomial Equations and Operations Quiz

Test your knowledge on polynomial equations & operations. Questions on degree, roots, division, leading coefficient & more.

#1

What is the degree of the polynomial 3x^2 - 5x + 2?

1
2
3
Not defined
#2

Which of the following is a binomial?

3x^2 - 5x + 2
x^3 + 4x^2 - 7x + 2
x^4 - 3x^2 + 2
2x - 1
#3

What is the leading coefficient of the polynomial 4x^3 + 2x^2 - 5x + 1?

4
2
-5
1
#4

Which of the following is a trinomial?

x^2 - 3
2x^3 + 4x^2 - x
4x^2 - 1
3x^4 + 2x^3 - 5x
#5

What is the constant term of the polynomial 2x^3 - 3x^2 + 4x - 5?

2
-3
4
-5
#6

Which of the following is a monomial?

x^2 + x + 1
2x^3 + 4x^2 - x
5x
3x^4 + 2x^3 - 5x
#7

What is the leading term of the polynomial 6x^5 - 3x^3 + 2x^2 - 4x + 1?

6x^5
3x^3
2x^2
-4x
#8

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

x^2 - 3x + 2
x^2 - 2x + 1
x^2 - x - 2
x^2 + 3x - 2
#9

What is the sum of all the roots of the polynomial x^3 - 5x^2 + 6x?

0
5
3
6
#10

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

2x^3 - 3x^2 + 9x - 7
2x^3 - 11x^2 + 20x - 36
2x^3 - 3x^2 - 1
2x^3 - 3x^2 + 1
#11

What is the sum of all the roots of the polynomial 2x^4 - 3x^3 + 5x^2 - 7x + 1?

3
-3
0
1
#12

What is the result of dividing (3x^4 + 2x^3 - 5x^2 + 7x - 1) by (x - 1)?

3x^3 + 5x^2 - 7x + 3
3x^3 + x^2 - 2x + 2
3x^3 + 2x^2 - 5x + 1
3x^3 - 2x^2 + 5x - 2
#13

What is the sum of all the roots of the polynomial x^4 - 3x^3 + 2x^2 - 5x + 1?

3
-3
1
-1
#14

What is the result of dividing (4x^5 + 3x^4 - 2x^3 + x^2 - 5x + 1) by (x - 2)?

4x^4 + 11x^3 + 19x^2 + 39x + 79
4x^4 + 11x^3 + 19x^2 + 39x + 41
4x^4 + 11x^3 + 19x^2 + 39x + 1
4x^4 + 11x^3 + 19x^2 + 39x - 39
#15

What is the remainder when x^4 + 3x^3 - 4x^2 + 2x - 7 is divided by x - 1?

3
-3
7
2
#16

What is the remainder when x^5 + 2x^4 - 3x^3 + 4x^2 - 5x + 6 is divided by x - 2?

0
12
-2
2
#17

What is the remainder when x^6 - 5x^5 + 4x^4 - 3x^3 + 2x^2 - x + 1 is divided by x - 1?

0
7
-5
2
#18

What is the remainder when x^7 + 2x^6 - 3x^5 + 4x^4 - 5x^3 + 6x^2 - 7x + 8 is divided by x - 1?

0
13
2
-13
#19

What is the remainder when x^8 - 4x^7 + 2x^6 - 3x^5 + 5x^4 - 2x^3 + 4x^2 - 3x + 1 is divided by x - 1?

0
-2
3
5

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