Check whether g(x) is a factor of p(x) by dividing polynomial p(x) by polynomial `p(x)=x^(5)-4x^(3)+x^(2)+3x+1, g(x)=x^(3)-3x+1`.

Check whether g(x) is a factor of p(x) by dividing polynomial p(x) by polynomial g(x), where p(x)=x^(5)-4x^(3)+x^(2)+3x+1,g(x)=x^(3)-3x+1 .

Check whether g(x) is a factor of p(x) by dividing the first polynomial by the second polynomial: (i) p(x) = 4x^(3) + 8x + 8x^(2) +7, g(x) =2x^(2) -x+1 , (ii) p(x) =x^(4) - 5x -2, g(x) =2-x^(2) , (iii) p(x) = 13x^(3) -19x^(2) + 12x +14, g(x) =2-2x +x^(2)

Divide the following polynomial p(x) by polynomial s(x) p(x)=2x^(3)-13x^(2)+23x-12,s(x)=2x-3

Check whether (2x-3) is a factor of the polynomial 2x^(4)+9x^(2)-11x-30 ?

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

Check whether the polynomial f(x)=x^(2)-3 is a factor of the polynomial g(x) where g(x)=2x^(4)+3x^(3)-2x^(2)-9x-12 .

Check whether x=-1 is a zero of the polynomial p(x)=x^(3)-3x+1

Use the factor theorem, to determine whether g(x) is a factor of p(x) in each of the following cases : (i) p(x)=2x^(3)+x^(2)-2x-1,g(x)=x+1 (ii) p(x)=x^(3)+3x^(2)+3x+1,g(x)=x+2 (iii) p(x)=x^(3)-4x^(2)+x+6,g(x)=x-3

check whether g(x) is a factor of f(x) or not f(x)= x^5+3x^4−x^3−3x^2+5x+15 , g(x)= x+3

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