[" (1) "t^(2)-3,2t^(4)+3t^(3)-2t^(2)-9t-12],[" second polynomial by the fills "]

Check whether g(t)=t^(2)-3 is a factor of f(t)=2t^(4)+3t^(3)-2t^(2)-9t-12 by applying the division algorithm.

t^2 - 3, 2t^4 + 3t^3 - 2t^2 - 9t -12 check whether the first polynomial is a factor of second polynomial by dividing second polynomial by the first polynomial.

(i) Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial: t^2-3,2t^4+3t^3-2t^2-9t-12 (ii) Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial x^2+3x+1, 3x^4+5x^3-7x^2+2x+2 (iii) Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial: x^3-3x+1, x^5-4x^3+x^2+3x+1

If q(t)=4t^(3)+4t^(2)-t-1andq(-1/2)=0 , then determine the polynomial by which q(t) is divisible.

What must be added to 11t^(3)+5t^(4)+6t^(5)-3t^(2)+t+5 , so that the resulting polynomial is exactly divisible by 4-2t+3t^(2) ?

What must be added to 11t^(3)+5t^(4)+6t^(5)-3t^(2)+t+5 , so that the resulting polynomial is exactly divisible by 4-2t+3t^(2) ?

If S=(t^(3))/(3)-2t^(2)+3t+4 , then

Check whether g(t)=t^2-3 is a factor of f(t)=2t^4+3t^3-2t^2-9t-12 by applying the division algorithm.

Check in which case the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial : (i) t^(2) - 3, 2t^(4) + 3t^(3) - 2t^(2) - 9t - 12 .