Question Text
Question 3 :
Choose the correct answer from the alternatives given.<br/>If x - $\dfrac{1}{x}$ = 3 then find the value of $x^3 + \dfrac{1}{x^3}$. 
Question 7 :
If $(x-1)$ and $(x-2)$ are factors of $x^4-(p-3)x^3-(3p-5)x^2+(2p-9)x+6$ then the value of $p$ is:
Question 8 :
The remainder obtained when the polynomial $x^{4}-3 x^3+9x^{2}-27x+81$ is divided by $(x-3)$ is:<br/>
Question 9 :
Given that $a(a + b) =36$ and $b(a +b) = 64$, where $a$ and $b$ are positive, $(a -b)$ equals:
Question 10 :
Determine all the zeros of $x^3+5x^2-2x-10$ if two of its zeros are $\sqrt 2$ and $-\sqrt 2$<br>
Question 11 :
Which of the following should be added to $\displaystyle 9x^{3}+6x^{2}+x+2$ so that the sum is divisible by $(3x + 1)$?
Question 13 :
Find the value of the reminder obtained when $6x^4 + 5x^3 - 2x + 8$ is divided by $x-\dfrac{1}{2}$.
Question 14 :
When a number P is divided by 4 it leaves remainder 3. If twice of the number P is divided by the same divisor 4, then what will be the remainder?