" 4."f(x)=9x^(3)-3x^(2)+x-5,g(x)=x-(2)/(3)

f(x)=2x^(3)-9x^(2)+x+12,g(x)=3-2x

Identify polynomials in the following: f(x)=4x^(3)-x^(2)-3x+7g(x)=2x^(3)-3x^(2)+sqrt(x)-1p(x)=(2)/(3)x^(2)-(7)/(4)x+9q(x)=2x^(2)-3x+(4)/(x)+2h(x)=x^(4)-x^((2)/(3))+x-1f(x)=2+(3)/(x)+4x

Find the remainder when f(x)=9x^3-3x^2+x-5, is divided by g(x)=x-2/3

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) + x^(2) - 20x + 12, g (x) = 3x -2 (v) f (x) = 4x ^(3) + 20 x ^(2) + 33 x +18, g (x) =2x +3

Find the HCF of the polynomials f(x)= 6(x^(3) +3x^(2)) (x^(2)-16) (x^(2) + 9x + 18) and g(x) = 8(x^(4) + 4x^(3)) (x^(2) + 6x + 9)^(2)

Find gof and fog wehn f:R rarr R and g:R rarr R are defined by f(x)=2x+3 and g(x)=x^(2)+5f(x)=2x+x^(2) and g(x)=x^(3)f(x)=x^(2)+8 and g(x)=3x^(3)+1f(x)=8x^(3) and g(x)=x^(1/3)+1f(x)=8x^(3) and

f(x)=3x^(4)+2x^(3)-(x^(2))/(3)-(x)/(9)+(2)/(27),g(x)=x+(2)/(3)

f(x)=3x^(4)+17x^(3)+9x^(2)-7x-10;g(x)=x+