Polynomial Equations and Operations Quiz

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

Practice Learn Test

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

Not defined

Which of the following is a binomial?

3x^2 - 5x + 2

x^3 + 4x^2 - 7x + 2

x^4 - 3x^2 + 2

2x - 1

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

-5

Which of the following is a trinomial?

x^2 - 3

2x^3 + 4x^2 - x

4x^2 - 1

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

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

-3

-5

Which of the following is a monomial?

x^2 + x + 1

2x^3 + 4x^2 - x

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

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

6x^5

3x^3

2x^2

-4x

Which of the following is a polynomial of degree 3?

x^3 + 3x^2 + 2x - 1

2x^4 - 3x^2 + 5

4x^2 - 2x

2x^5 + 3x^3 - 1

What is the constant term of the polynomial 3x^4 - 2x^3 + 5x^2 - 7x + 9?

-2

#10

Which of the following is a polynomial of degree 2?

x^3 + 3x^2 + 2x - 1

2x^4 - 3x^2 + 5

4x^2 - 2x

2x^5 + 3x^3 - 1

#11

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

#12

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

#13

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

#14

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

-3

#15

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

#16

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

-3

-1

#17

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

#18

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

-1

-2

#19

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

5x^4 + 19x^3 + 52x^2 + 158x + 475

5x^4 + 19x^3 + 52x^2 + 158x + 476

5x^4 + 19x^3 + 52x^2 + 158x + 474

5x^4 + 19x^3 + 52x^2 + 158x + 473

#20

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

-3

-2

#21

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

-3

#22

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

-2

#23

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

-5

#24

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

-13

#25

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?

-2