Welcome to the online MCQs preparation for Chapter 5: Polynomials from the National Book Foundation Mathematics textbook for Class 11 (Federal Board). This chapter covers fundamental concepts of polynomials, including their properties, theorems, and applications.

Chapter 5: Polynomials-MCQs | National Book Foundation

July 14, 2026

Total Questions:  32

1. 
Factor of $f(x)=x^n-a^n$, where $n$ is positive integer is

2. 
Leading coefficient of the equation $x^3+2x^2+3x+4=0$ is ________

3. 
In signal processing, $P(x)$ represents a signal. If $P(-1)=0$, then the signal has:

4. 
Synthetic division is a process of ________

5. 
What is the value of polynomial $3x^2-7x+1$ at $x=-1$ is ______

6. 
The height of ball after $t$ second in given by $h(t)=-16t^2+80t+5$ at $t=0$ what is height of ball

7. 
When $3x^4+4x^3+x-5$ is divided by $(x+1)$ the remainder is

8. 
If $x-b$ is the factor of $q(x)$, then $q(b)$ is:

9. 
If $(x-a)$ is a factor of a polynomial $f(x)$ then $f(a)$ equals to

10. 
If $(x-a)$ is a factor of $f(x)=0, x=a$ is called

11. 
Divide $9y^2+9y-10$ by $3y-2$, then remainder is:

12. 
The degree of polynomial equation $\sqrt{ax^5+bx^4+cx^3}=5$ is _______

13. 
$\frac{x^2-x-9}{x-3}=x+2+\frac{?}{x-3}$

14. 
Factors of $-2-x+x^2$ are:

15. 
The zeros of $x^2-2x-8$ are

16. 
$x^3-3x^2+2x-6$ has factor:

17. 
The degree of the product of two polynomials of degree $m$ and $n$

18. 
If 2 is a zero of the polynomial $x^3+5x^2-4x+k$, then value of k will be:

19. 
The degree of the zero polynomial $f(x)=0$ is:

20. 
The degree of the polynomial $x^4-x^2+2$ is:

21. 
The division of $2x^3 -5x^2+3x-1$ by $(x-2)$ gives remainder:

22. 
If $f(x)$ is divided by $x-2$, then remainder is 12. What is $f(2)$?

23. 
If one of the root of the equation $x^2+ax+2=0$ is $2$ then $'a'$ is equal to _____

24. 
If $3x^3-2x^2+5$ is divided by $x+1$, then $x+1$ will be its:

25. 
The degree of the constant polynomial $f(x)=\sqrt{3}$ is:

26. 
If a polynomial $f(x)$ of degree $n \geq 1$ is divided by $(x-a)$ then remainder is _______

27. 
Dividend = (divisor) (quotient) + ________

28. 
If $(x-2)$ is a factor of $x^3+2x^2+kx+4$ then $'k'$ is equal to _______

29. 
The degree of the constant polynomial is _________

30. 
What is the degree of $x^3-2x^4y^2+7y^5$

31. 
If $(x-2)$ is a factor of $ax^2-12x+4$ then $'a'$ is equal to _______

32. 
Factor of $f(x)=x^n+a^n$, where $n$ is odd integer is

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