" (iii) "4x^(2)+4x+1

Determine the nature of roots of given quadratic equation ( i x^(2)+x+1=0 (ii) 4x^(2)-4x+1=0

Prove that sinfrac {pi}{14} is a root of the equation 8x^(3) -4x^(2) - 4x +1 = 0 .

Factorise the using the identity a ^(2) + 2 ab + b ^(2) = (a + b) ^(2) 4x ^(2) + 4x +1

The value of the discriminant of the solution 4x^(2) -4x + 1 =0 is

If alpha and beta are the zeros of the quadratic polynomial 4x^(2) + 4x +1 ,find the quadratic polynomial whose zeros are 2 alpha and 2 beta .

Let RR be the set of real numbers and f: RR rarr RR ,g: RR rarr RR be two functions such that, (g o f) (x) = 4x^(2)+4x+1 and (f o g ) (x) = 2x^(2)+1 . Find f(x) and g(x) .

Resolve (x + 4)/( (x ^(2) - 4) ( x +1)) into partial fraction

Draw the graph of the polynomial f(x)=-4x^(2)+4x-1. Also find the vertex of this parabola.