Question Text
Question 1 :
The product of $x^2y$ and $\cfrac{x}{y}$ is equal to the quotient obtained when $x^2$ is divided by ____.<br/>
Question 3 :
If $p(x) = x^3-3x^2+6x-4$ and $p\left (\dfrac{\sqrt{3}}{2}\right) = 0$ then by factor theorem the corresponding factor of $p(x)$ is <br/>
Question 6 :
Factors of $\left (x^{2} + \dfrac {x}{6} - \dfrac {1}{6}\right )$ are
Question 7 :
A polynomial of degree $n$ can have at most $n$ zeros.<br/>
Question 9 :
If $a\ne 2$, which of the following is equal to $\cfrac { b\left( { a }^{ 2 }-4 \right) }{ ab-2b } $?
Question 10 :
State whether the following statement  is true or false.$(x-1)$ is a factor of ${x}^{3}-27{x}^{2}+8x$.
Question 11 :
The remainder when $x^{3} - 6x^{2} + 11x - 6$ is divided by $x + 2$ is<br>
Question 12 :
Factorise the expressions and divide them as directed.$39y^3(50y^2 -98) \div 26y^2(5y + 7)$
Question 14 :
The remainder when $x^{6} - 3x^{5} + 2x^{2} + 8$ is divided by $x - 3$ is<br>
Question 15 :
If x -a is a factor of $x^3 -3x^2a + 2a^2x + b$, then the value of b is
Question 16 :
Using factor theorem to determine whether (x-2) is a factor of$x^3-3x^2+4x+4$.
Question 17 :
What is the remainder when $\displaystyle 13x^{2}+22x-10$ is divided by $(x + 2)$ ?
Question 18 :
A positive number $n$ when divided by $8$ leaves a remainder $5$. What is the remainder when $2n + 4$ is divided by 8?
Question 19 :
If the polynomial $x^3-x^2+x-1$ is divided by $x-1$, then the quotient is :
Question 20 :
Find the remainder when $x^{3} + 3x^{2} + 3x + 1$ is divided by $x - \dfrac {1}{2}$.