1. When $3x^4+4x^3+x-5$ is divided by $(x+1)$ the remainder is
2. If one of the root of the equation $x^2+ax+2=0$ is $2$ then $'a'$ is equal to _____
3. If $(x-a)$ is a factor of a polynomial $f(x)$ then $f(a)$ equals to
4. What is the degree of $x^3-2x^4y^2+7y^5$
5. Leading coefficient of the equation $x^3+2x^2+3x+4=0$ is ________
6. The degree of the constant polynomial is _________
7. If 2 is a zero of the polynomial $x^3+5x^2-4x+k$, then value of k will be:
8. If a polynomial $f(x)$ of degree $n \geq 1$ is divided by $(x-a)$ then remainder is _______
9. The degree of polynomial equation $\sqrt{ax^5+bx^4+cx^3}=5$ is _______
10. In signal processing, $P(x)$ represents a signal. If $P(-1)=0$, then the signal has:
11. The division of $2x^3 -5x^2+3x-1$ by $(x-2)$ gives remainder:
12. If $3x^3-2x^2+5$ is divided by $x+1$, then $x+1$ will be its:
13. Synthetic division is a process of ________
14. If $x-b$ is the factor of $q(x)$, then $q(b)$ is:
15. The zeros of $x^2-2x-8$ are
16. Dividend = (divisor) (quotient) + ________
17. $x^3-3x^2+2x-6$ has factor:
18. $\frac{x^2-x-9}{x-3}=x+2+\frac{?}{x-3}$
19. The degree of the constant polynomial $f(x)=\sqrt{3}$ is:
20. The degree of the polynomial $x^4-x^2+2$ is:
21. If $(x-2)$ is a factor of $ax^2-12x+4$ then $'a'$ is equal to _______
22. Divide $9y^2+9y-10$ by $3y-2$, then remainder is:
23. Factor of $f(x)=x^n+a^n$, where $n$ is odd integer is
24. If $(x-2)$ is a factor of $x^3+2x^2+kx+4$ then $'k'$ is equal to _______
25. What is the value of polynomial $3x^2-7x+1$ at $x=-1$ is ______
26. Factor of $f(x)=x^n-a^n$, where $n$ is positive integer is
27. The height of ball after $t$ second in given by $h(t)=-16t^2+80t+5$ at $t=0$ what is height of ball
28. Factors of $-2-x+x^2$ are:
29. If $f(x)$ is divided by $x-2$, then remainder is 12. What is $f(2)$?
30. If $(x-a)$ is a factor of $f(x)=0, x=a$ is called
31. The degree of the product of two polynomials of degree $m$ and $n$
32. The degree of the zero polynomial $f(x)=0$ is: