Polynomials Tes...

Zero of the polynomial $$p(x) = \sqrt{3}x + 3$$ is

For $$p(x) = 5x^2 - \dfrac{2}{3} x + 8$$, then value of $$p (3) = $$

Identify the zeroes of the given polynomial.

$$ \alpha, \beta, \gamma$$ be the zeroes of the expression
$$ax^{3} +

bx^{2} + 4x + 7$$, then the value of
$$ \alpha\beta + \beta\gamma + \gamma\alpha$$  is:

If $$p(x) = 1 + 7x - 9x^2 + \dfrac{2}{3} x^3$$, then $$p(-3) =$$

If $$f(x)=x^{6}-10x^{5}-10x^{4}-10x^{3}-10x^{2}-10x+10$$, the value of $$f(11)$$ is

Two roots of the equation $$4x^3 - px^2+ qx - 2p = 0$$ are 4 and 7. What is the third root?

The equation $$8x^{6} + 72x^{5} + bx^{4} + cx^{3} - 687x^{2} - 2160x - 1700 = 0$$, as shown in the figure, has two complex roots. The product of these complex roots is

Calculate the number of real numbers $$k$$ such that $$f(k)=2$$ if $$f(x)={ x }^{ 4 }-3{ x }^{ 3 }-9{ x }^{ 2 }+4$$.

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