Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm. Write Yes or No as the solution. 

$g\left(t\right)=t^2-3, f\left(t\right)=2t^4+3t^3-2t^2-9t-12$

Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm. Write "Yes" or "No" as the solution.

$g\left(x\right)=x^3-3x+1, f\left(x\right)=x^5-4x^3+x^2+3x+1$

Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm. Write "Yes" or "No" in the answer box.

$g\left(x\right)=2x^2-x+3, f\left(x\right)=6x^5-x^4+4x^3-5x^2-x-15$

Obtain all zeros of the polynomial $f\left(x\right)=2x^4+x^3-14x^2-19x-6$, if two of its zeros are $-2$ and $-1$.

If $a$and $b$  are the other zereos of $f\left(x\right)=2x^4+x^3-14x^2-19x-6$, and $a+2b=k$, find $k$.

If the other zeroes are $a, b$ and $a\times b=p$, find $p.$

Find all zeros of the polynomial $f\left(x\right)=2x^4-2x^3-7x^2+3x+6$, if its two zeros are $-\sqrt{\frac{3}{2}}$ and $\sqrt{\frac{3}{2}}$. If $a$ and $b$ are the other two zeroes and $ab= -m$, find $m$.

If $p$ and $q$ are the other two zeroes and $p+q=-r$ and $p>q$, find the value of $r$.

Find all zeros of the polynomial $2x^4+7x^3-19x^2-14x+30$, if two of its zeros are $\sqrt{2}$ and $-\sqrt{2}$.

If $a$and $b$ are the other two zeroes, then $a+2b=-c$ and $b>a$, find $c.$