" 5."p(x)=([0,0],[1,1]|x-x^(3)+x^(3),g(x)=x+3

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 polynomial p(x) by polynomial p(x)=x^(5)-4x^(3)+x^(2)+3x+1, g(x)=x^(3)-3x+1 .

By remainder theorem , find the remainder when p(x) is divided by g(x) where , (i) p(x) =x^(3) -2x^2 -4x -1 ,g(x) =x+1 (ii) p(x) =4x^(3) -12x^(2) +14x -3,g(x) =2x-1 (iii) p(x) =x^(3) -3x^(2) +4x +50 ,g(x) =x-3

check whether p(x) is a multiple of g(x) or not (i) p(x) =x^(3)-5x^(2)+4x-3,g(x) =x-2. (ii) p(x) =2x^(3)-11x^(2)-4x+5,g(x)=2x+1

check whether p(x) is a multiple of g(x) or not (i) p(x) =x^(3)-5x^(2)+4x-3,g(x) =x-2. (ii) p(x) =2x^(3)-11x^(2)-4x+5,g(x)=2x+1

In each of the following cases (Q.9-12), find whether g(x) is a factor of p(x) : p(x)=3x^(3)+5x^(2)-7x-1, " " g(x)=x-1

In each of the following cases (Q.9-12), find whether g(x) is a factor of p(x) : p(x)=3x^(3)+5x^(2)-7x-1, " " g(x)=x-1

BY Remainder theorem , find the remainder when p(x) is divided by g(x) (i) p(x) =x^(3)-2x^(2)-4x-1, g(x)=x+1 (ii) p(x) =x^(3)-3x^(2)+4x+50, g(x) =x-3

BY Remainder theorem , find the remainder when p(x) is divided by g(x) (i) p(x) =x^(3)-2x^(2)-4x-1, g(x)=x+1 (ii) p(x) =x^(3)-3x^(2)+4x+50, g(x) =x-3

if |{:(1,,x,,x^(2)),(x,,x^(2),,1),(x^(2),,1,,x):}|=3 then find the value of Delta_(c)=|{:(x^(3)-1,,0,,x-x^(4)),(0,,x-x^(4),,x^(3)-1),(x-x^(4)-1,,x^(3)-1,,0):}|