" 5."f(x)=x^(3)-6x^(2)+2x-4,g(x)=1-2x

f(x)=4x^(3)-12x^(2)+14x-3,g(x)=2x-1

By remainder Theoren, find the remainder, when p(x) is divided by g(x) where p(x)=x^3-6x^2+2x-4,g(x)=1-3/2x .

if f(x)=4x^(3)-x^(2)-2x+1 and g(x)={min{f(t):0<=t<=x;0<=x<=1,3-x:1} then g(1/4)+g(3/4)+g(5/4) is equal to

f(x)=x^3-6x^2+11 x-6,\ g(x)=x^2-3x+2 find the remainder when f(x) is divided with g(x).

f(x)=2x^(3)+6x^(2)+4x g(x)x^(2)+3x+2 The polynomials f (x ) and g (x ) are defined above. Which of the following polynomials is divisible by 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) + x^(2) - 20x + 12, g (x) = 3x -2 (v) f (x) = 4x ^(3) + 20 x ^(2) + 33 x +18, g (x) =2x +3

Let f:R rarr R be defined as f(x)=x^(3)+3x^(2)+6x-5+4e^(2x) and g(x)=f^(-1)(x) ,then find g'(-1)

If f (x) =3x ^(9) -2x ^(4) +2x ^(3)-3x ^(2) +x+ cosx +5 and g (x) =f ^(-1) (x), then the value of g'(6) equals: