" (iii) "14x^(2)+9x+1

The expression ((x^(3) -1)(x^(2) -9x + 14))/((x^(2) + x +1)(x^(2) - 8x + 7)) simplifies to:

If ( x + a) ( x + b ) (x + c ) = x^(3) + 14x^(2) + 59x + 70 , find the value of (1)/(a) + (1)/(b) + (1)/( c )

Find the nature of the roots of the equations of given below : (a) x^(2) - 13x + 11 =0 (b ) 18x^(2) - 14x + 17 = 0 (c ) 9x^(2) - 36x + 36 = 0 (d) 3x^(2) - 5x - 8 = 0

The function f(x) = x^(3) - 6x^(2) +9x + 3 is decreasing for: a) (-infty,-1)cup(3,infty) b) (1,3) c) (3,infty) d) (1,4)

Let S denotes the infinite sum 2 + 5x + 9x^(2) + 14x^(3) + 2x^(4) + … where |x| lt 1 . Then S equals

Let S denotes the infinite sum 2 + 5x + 9x^(2) + 14x^(3) + 2x^(4) + … where |x| lt 1 . Then S equals

Find the value of a for which the polynomial 3x^(3)+14x^(2)+9x+a is divisible by 3x+5 .