Question Text
Question 1 :
The value of $k$ for which $x - k$ is a factor of $x^{3} - kx^{2} + 2x + k + 4$ is<br/>
Question 3 :
If the polynomial $3x^4-4x^3-3x-1$ is divided by $x-1$, then the remainder is :
Question 4 :
The value of $\displaystyle\left (5^{\cfrac {1}{2}} + 3^{\cfrac {1}{2}}\right ) \left (5^{\cfrac {1}{2}} - 3^{\cfrac {1}{2}}\right )$ is
Question 5 :
If $ a^2+b^2=29 $ and $ ab=10 $, then find $ a-b $. 
Question 7 :
Find the value of $k$, if $x-1$ is a factor of $p(x)$ in the following cases:$p(x)=kx^2-3x+k$<br/>
Question 8 :
Using factor theorem to determine whether (x-2) is a factor of$x^3-3x^2+4x+4$.
Question 9 :
The remainder when $x^{2}+ 2x + 1$ is divided by $(x+1)$ is<br>
Question 10 :
What is the degree of the remainder atmost, when a fourth degree polynomial is divided by a quadratic polynomial?