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