" (ii) "4x^(3)+20x^(2)+33x+18" given that "2x+3" is a factor."

Factorize: 4x^(3)+20x^(2)+33x+18 given that 2x+3 is a factor

Factorize: 4x^3+20 x^2+33 x+18 given that 2x+3 is a factor

Factorize x^(3)+13x^(2)+32x+20, if it is given that x+2 is its factor.

Factorize x^3+13 x^2+32 x+20 , if it is given that x+2 is its factor.

Factorize x^3+13 x^2+32 x+20 , if it is given that x+2 is its factor.

Show that : (i) x-5, is factor of x^(2)-11x+30 " " (ii) (x+2 , is a factor of x^(2)+3x+2 (iii) x-3, is a factor of 2x^(3)+7x^(2)-24x-45 " " (iv) 3x-2 , is a factor of 3x^(3)+x^(2)-20x+12 (v) x-1, is a factor of x^(3)-10x^(2)+23x-14 " " (vi) x-2 , is a factor of x^(3)-3x^(2)-x+6

Show that : (i) x-5, is factor of x^(2)-11x+30 " " (ii) (x+2 , is a factor of x^(2)+3x+2 (iii) x-3, is a factor of 2x^(3)+7x^(2)-24x-45 " " (iv) 3x-2 , is a factor of 3x^(3)+x^(2)-20x+12 (v) x-1, is a factor of x^(3)-10x^(2)+23x-14 " " (vi) x-2 , is a factor of x^(3)-3x^(2)-x+6

Use the Factor Theorem to determine whether g (x) is factor of f(x) in each of the following cases: (i) f (x) = 5x ^(3) + x ^(2)-5x -1, g (x)=x +1 (ii) f (x) = x ^(3) + 3x ^(2) + 3x +1 , g(x) =x +1 (iii) f (x) =x ^(3) - 4x ^(2) +x + 6, g (x) =x -2 (iv) f (x) = 3x ^(3) + x^(2) - 20x + 12, g (x) = 3x -2 (v) f (x) = 4x ^(3) + 20 x ^(2) + 33 x +18, g (x) =2x +3

Use the Factor Theorem to determine whether g (x) is factor of f(x) in each of the following cases: (i) f (x) = 5x ^(3) + x ^(2)-5x -1, g (x)=x +1 (ii) f (x) = x ^(3) + 3x ^(2) + 3x +1 , g(x) =x +1 (iii) f (x) =x ^(3) - 4x ^(2) +x + 6, g (x) =x -2 (iv) f (x) = 3x ^(3) - 20x + 12, g (x) = 3x -2 (v) f (x) = 4x ^(3) + 20 x ^(2) + 33 x +18, g (x) =2x +3