Question Text
Question 1 :
$f(x)=2x^3-5x^2+ax+a$Given that $(x+2)$ is a factor of $f(x)$, find the value of the constant $a$.
Question 2 :
If both $x + 1$ and $x-  1$ are factors of $ax^3 + x^2+  2a + b = 0$, find the values of $a$ and $b$ respectively.
Question 3 :
The remainder when $x^{3} - 6x^{2} + 11x - 6$ is divided by $x + 2$ is<br>
Question 7 :
What is the remainder when $\displaystyle 13x^{2}+22x-10$ is divided by $(x + 2)$ ?
Question 10 :
If (x -1) is a factor of polynomial f(x) but not of g(x), then it must be a factor of
Question 11 :
The simplified value of the experession$\displaystyle \left ( a+b-c \right )^{2}+2\left ( a+b-c \right )\left ( a-b+c \right )+\left ( a-b+c \right )^{2}$ is
Question 16 :
Polynomials $p(x), g(x), q(x)$ and $r(x)$, which satisfy the division algorithm and "deg $p(x) = $ deg $q(x)$" are<br/>
Question 17 :
If $ax^2+2a^2x+b^3$ is divisible by $x+a$, then what is the relation between $'a'$ and $'b'$ is possible?