Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm :(i) gt=t2-3, ft=2t4+3t3-2t2-9t-12(ii) gx=x3-3x+1, fx=x5-4x3+x2+3x+1(iii) gx=2x2-x+3, fx=6x5-x4+4x3-5x2-x-15

Check whether the first polynomial is a factor of the second polynomia

1.	Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm :(i) gt=t2-3, ft=2t4+3t3-2t2-9t-12(ii) gx=x3-3x+1, fx=x5-4x3+x2+3x+1(iii) gx=2x2-x+3, fx=6x5-x4+4x3-5x2-x-15
Answer» Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm : (i) $g (t) = t^{2} - 3, f (t) = 2 t^{4} + 3 t^{3} - 2 t^{2} - 9 t - 12$ (ii) $g (x) = x^{3} - 3 x + 1, f (x) = x^{5} - 4 x^{3} + x^{2} + 3 x + 1$ (iii) $g (x) = 2 x^{2} - x + 3, f (x) = 6 x^{5} - x^{4} + 4 x^{3} - 5 x^{2} - x - 15$

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Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm :(i) gt=t2-3, ft=2t4+3t3-2t2-9t-12(ii) gx=x3-3x+1, fx=x5-4x3+x2+3x+1(iii) gx=2x2-x+3, fx=6x5-x4+4x3-5x2-x-15

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