" (i) "5x^(3)-15x^(2)-120x+3

Find the intervals in which f(x)=5x^(3)-15x^(2)-120x+3 is increasing or decreasing.

Using remainder theorem, find the remainder when : (i) x^(3)+5x^(2)-3 is divided by (x-1) " " (ii) x^(4)-3x^(2)+2 is divided by (x-2) (iii)2x^(3)+3x^(2)-5x+2 is divided by (x+3) " " (iv) x^(3)+2x^(2)-x+1 is divided by (x+2) (v) x^(3)+3x^(2)-5x+4 is divided by (2x-1) " " (vi) 3x^(3)+6x^(2)-15x+2 is divided by (3x-1)

Using remainder theorem, find the remainder when : (i) x^(3)+5x^(2)-3 is divided by (x-1) " " (ii) x^(4)-3x^(2)+2 is divided by (x-2) (iii)2x^(3)+3x^(2)-5x+2 is divided by (x+3) " " (iv) x^(3)+2x^(2)-x+1 is divided by (x+2) (v) x^(3)+3x^(2)-5x+4 is divided by (2x-1) " " (vi) 3x^(3)+6x^(2)-15x+2 is divided by (3x-1)

Find the intervals in which f(x)=5x^3-15 x^2-120 x+3 is increasing or decreasing.

Find the intervals in which the following functions are increasing or decreasing : 5x^3 - 15 x^2 - 120 x + 3

Find the intervals in which the following function are increasing or decreasing. f(x)=10-6x-2x^2 f(x)=x^2+2x-5 f(x)=6-9x-x^2 f(x)=2x^3-12 x^2+18 x+15 f(x)=5+36 x+3x^2-2x^3 f(x)=8+36 x+3x^2-2x^3 f(x)=5x^3-15 x^2-120 x+3 f(x)=x^3-6x^2-36 x+2 f(x)=2x^3-15 x^2+36 x+1 f(x)=2x^3+9x^2+20 f(x)=2x^3-9x^2+12 x-5 f(x)=6+12 x+3x^2-2x^3 f(x)=2x^3-24 x+107 f(x)=-2x^3-9x^2-12 x+1 f(x)=(x-1)(x-2)^2 f(x)=x^3-12 x^2+36 x+17 f(x)=2x^3-24+7 f(x)=3/(10)x^4-4/5x^3-3x^2+(36)/5x+11 f(x)=x^4-4x f(x)=(x^4)/4+2/3x^3-5/2x^2-6x+7 f(x)=x^4-4x^3+4x^2+15 f(x)=5x^(3/2)-3x^(5/2),x >0 f(x)==x^8+6x^2 f(x)==x^3-6x^2+9x+15 f(x)={x(x-2)}^2 f(x)=3x^4-4x^3-12 x^2+5 f(x)=3/2x^4-4x^3-45 x^2+51 f(x)=log(2+x)-(2x)/(2+x),xR

Find the quotient and the remainder when 5x^(5) -13x^(4) -15x^(2) -20 is divided by x-3

If two roots of 2x^(3)-15x^(2)+27x-10=0 are in the ratio 2:5 then the roots are

Evaluate lim_(x to 3) (x^(3) - 7x^(2) + 15x - 9)/(x^(4) - 5x^(3) + 27 x - 27)

When x^(5)-5x^(4)+9x^(3)-6x^(2)-16x+13 is divided by x^(2)-3x+a , then quotient and remainders are x^(3)-2x^(2)+x+1 and -15x+11 respectively . Find the value of a .