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Division of polynomial by using factoriz...

Division of polynomial by using factorization

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check whether the first polynomial is a factor of the second polynomial x-a,x^4-a^4 Hint : Divide the second polynomial by the first polynomial. If the remainder 0, then the first polynomial is a factor of the second one.

Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm : g(x)=x-1-x^2,p(x)=3x^2-x^3-3x+5 .

Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm : x^3-3x+1,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 : g(x)=2x-1,p(x)=4x^3-12x^2+14x-3 .

Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm : g(x)=3x+10,p(x)=9x^3-27x^2-100x+300 .