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Check whether the first polynomial is a ...

Check whether the first polynomial is a factor of the second polynomial by dividing :
`x^(3)-3x+1, x^(5)-4x^(3)+x^(2)+3x+1`

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

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

(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

In each of the following cases, use factor theorem to find whether g(x) is a factor of the polynomial p(x) or not. p(x)= 2x^(4)+3x^(3)-2x^(2)-9x-12, g(x)= x^(2)-3

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Find zero of the polynomial p (x) = 3x +1

Divide the polynomial 2x ^(4) - 4x ^(3) - 3x -1 by (x-1)

In each of the following cases, use factor theorem to find whether g(x) is a factor of the polynomial p(x) or not. p(x)= 3x^(4)+3x^(2)-4x-11 g(x)= x-(1)/(2)