CDS MATHEMATICS QUIZ 5

Attempt now to get your rank among 0 students!

Question 1:

$x^{35}+3$ is divided by $x^{5}+1$, find remainder

Question 2:

If $x^{40}+3$ is divided by $x^{4}+1$, find the remainder

Question 3:

If $x^{51}+51$ is divided by $(x+1)$, find the remainder

Question 4:

If $x^{11}+3$ is divided by $(x+1)$, find the remainder

Question 5:

If $x^{2}+x+4$ is divided by $(x-1)$, find the remainder

Question 6:

$\frac{x^{2}-7 x+15}{x-3}$, find remainder.

Question 7:

Factor of $x^{29}-x^{26}-x^{23}+1$.

Question 8:

If $x^{3}+a x^{2}+2 x+3$ is exactly divisble by $(x+1)$. Find the value of $a$.

Question 9:

If $(x-2)$ is a factor of polynomial $x^{2}+k x+4$. Find the value of $k$.

Question 10:

Find $\frac{a^{4}+b^{4}}{a^{2}-a b \sqrt{2}+b^{2}}$, if $x=a^{2}+b^{2}$ and $\mathrm{y}=\mathrm{ab} \sqrt{2}$