`|[x^2+3,x-1,x+3],[x+1,-2x,x-4],[x-3,x+4,3x]|`=`px^4+Qx^3+rx^2+sx+t`

If p x^4+q x^3+r x^2+s x+t = |[x^2+3x, x-1, x+3],[x+1, 2-x, x-3], [x-3, x+4, 3x]| then

If px^4+qx^3+rx^2+sx+t=|(x^2+3x,x-1,x+3),(x+1,2-x,x-3),(x-3,x+4,3x)| then t is equal to

If px^4+qx^3+rx^2+sx+t=|(x^2+3x,x-1,x+3),(x+1,2-x,x-3),(x-3,x+4,3x)| then t is equal to

If |(x^2+x, x-1, x+1), (x, 2x, 3x-1), (4x+1, x-2, x+2)|= px^4 +qx^3+rx^2+sx+t be n identity in x and omega be an imaginary cube root of unity, (a+bomega+comega^2)/(c+aomega+bomega^2)+(a+bomega+comega^2)/(b+comega+aomega^2)= (A) p (B) 2p (C) -2p (D) -p

If |(x^2+x, x-1, x+1), (x, 2x, 3x-1), (4x+1, x-2, x+2)|= px^4 +qx^3+rx^2+sx+t be n identity in x and omega be an imaginary cube root of unity, (a+bomega+comega^2)/(c+aomega+bomega^2)+(a+bomega+comega^2)/(b+comega+aomega^2)= (A) p (B) 2p (C) -2p (D) -p

Let px^4+qx^3+rx^2+sx+t=|{:(x^2+3x,x-1,x+3),(x+1,-2,x-4),(x-3,x+4,3x):}| be an identity where p,q,r,s and t are constants, then the value of s is equal to

If px^(4)+qx^(3)+rx^(2)+sx+t=|{:(x^(2)+3x,x-1,x+3),(x^(2)+1,2-x,x-3),(x^(2)-3,x+4,3x):}| then t is equal to

If px^(4)+qx^(3)+rx^(2)+sx+t=|{:(x^(2)+3x,x-1,x+3),(x^(2)+1,2-x,x-3),(x^(2)-3,x+4,3x):}| then t is equal to