Polynomials Tes...

The expansion $$\frac{1}{{\sqrt {4x + 1} }}\left[ {{{\left[ {\frac{{1 + \sqrt {4x + 1} }}{2}} \right]}^7} - {{\left[ {\frac{{1 - \sqrt {4x - 1} }}{2}} \right]}^7}} \right]$$ is a polynomial in x of degree 

The number of zeroes in the given graph y=p(x) is 

The expression $${ \left[ x+{ \left( { x }^{ 3 }-1 \right)  }^{ 1/2 } \right]  }^{ 5 }+{ \left[ x-{ \left( { x }^{ 3 }-1 \right)  }^{ 1/2 } \right]  }^{ 5 }$$ is a polynomial of degree

If zeroes of polynomial 
 $$P\left( x \right) = a{x^2} + 3b{x^2} + 3cx + d$$
are in A.P, then $$2{b^3} - 3abc + {a^2}d\;is\;equal\;to\;$$

If one zero of the polynomial $$f(x)=x^{4}-6x^{3}-26x^{2}+138x-35$$ is $$2-\sqrt{3}$$,then which of following represents its zeros.

The values of a & b so that the polynomial $$ x^{3}-a x^{2}-13 x+b  $$ is divisible by $$ (x-1) \&(x+3)  $$ are

If the graph of $$y=ax^3+bx^2+cx+d$$ is symmetric about the line $$x=K$$ then the value of $$a+K$$ is 

If $$\alpha ,\beta $$ are zeros of $$p(x)=2x^2+5x+5$$, find the value of $$\alpha ^{-1}+\beta ^{-1}$$.

The smallest integral value of a for which the equation $${ x }^{ 3 }-{ x }^{ 2 }+ax-a=o$$ have exactly one real root, is

The linear polynomial p(x)=7X-3 has the zero.....