Polynomial Division Quiz

Polynomial Division Quiz

Difficulty Level: Medium
25 Questions

Popular Questions InPolynomial Division Quiz

1

The result obtained after dividing a polynomial by another is called the :

2

In polynomial division, if the remainder is zero, it means :

3

In the expression P(x) = D(x) × Q(x) + R(x), the term R(x) is called :

4

The constant term in the remainder is possible if :

5

If a polynomial D(x) divides P(x) exactly, the remainder is :

6

In polynomial division, the divisor must be :

7

If P(x) is divided by D(x), the remainder R(x) can be :

8

Polynomial division is similar to :

9

The degree of the polynomial 7x5 − 3x4 + x2 − 9 is :

10

In polynomial division, the degree of the quotient is equal to :

11

If f(x) = x4 + 3x2 + 2 and g(x) = x2 + 1, what is the degree of the quotient when f(x) is divided by g(x) ?

12

The polynomial 2x3 + x2 − 5x + 6 is divided by x − 2 . The degree of the remainder is :

13

Which of the following is a polynomial of degree 0 ?

14

If a polynomial P(x) of degree 6 is divided by a polynomial Q(x) of degree 3, the degree of the remainder is :

15

The degree of the polynomial 0 (zero polynomial) is :

16

When dividing x3 + 2x − 5 by x − 1, which term is considered “missing”?

17

What is the result of dividing 6x3 by 2x ?

18

When a polynomial is divided by a monomial, what happens to each term?

19

Synthetic division can be used when the divisor is of the form :

20

What is the remainder in synthetic division?

21

Which step is NOT part of synthetic division?

22

If x − 2 is a factor of f(x), then f(2) = ?

23

Which of these is a factor of f(x) = x2 − 9 ?

24

According to the Factor Theorem, if f(a) = 0, then :

25

If f(x) = (x − 2)(x + 3), what are the roots of the polynomial?