Number of root of equation 

Use the identity  (a+b(a−b)=a² -b² to evaluate:33×27.

The smallest integral value of a for which the equation x³ -x² +ax-a=0 have exactly one real root, is

If the graph of y=ax³+bx²+cx+d is symmetric about the line x=K then the value of a+K is

Zero of the polynomial p(x)=  √3x+3 is

Let f(x) be a polynomial of degree 5 with leading coefficient unity, such that 

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

If the sum of two roots of the equation x³ px² +qxr=0 is zero , then

Use identities to solve: (97)²

Identify the zeroes of the given polynomial.
p(z)=4z²-15zπ- 4π³

The number of polynomials having zeroes as −2 and 5 is?

For equation x³−6x² +9x+k=0 to have exactly one root in (1, 3), the set of values of k is

Find the zero of the polynomial given below: p(x)=9x−3.

If p(x)= x³ −4x²+5x−2, then p(2) is:

If zeroes of polynomial P(x)=ax² +3bx² +3cx+d

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

If the sum of two roots of the equation X³−px²+qx−r=0is zero, then

α,β,γ be the zeroes of the expression

The zeros of the polynomial 

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