Question 4 :
If $'k'$ be the ratio of the roots of the equation $x^{2} - px +q = 0$, the value of $\dfrac{k}{1 + k^{2}}$ is<br/>
Question 5 :
The zero polynomial is the _________ identity of the additive group of polynomials.
Question 7 :
$p(x) = c$, where $c$ is a real number. $p(x)$ is a
Question 8 :
Which out of the following options is a trinomial, having degree 7?<br/>
Question 10 :
If one of the zeros of a quadratic polynomial of the form $x^2 + ax + b$ is the negative of the other, then it<br>
Question 11 :
Which of the following is a polynomial with only one zero?
Question 14 :
$p(x) = x^3 - x^2 - x + x$ is a _________.
Question 15 :
Which of the following equations has the sum of its roots as 3?
Question 16 :
If $\alpha, \beta$ be the zeros of the quadratic polynomial $2-3x-x^2$, then $\alpha+\beta=$<br>
Question 18 :
<div><span>What is the type of polynomial  $11\, =\, -4x^{2}\, -\, x^{3}$?</span><br/></div>
Question 20 :
Degree of the polynomial $13 + 11x + 12x^3 + 3x^2$ is
Question 21 :
The sum and product of zeros of the quadratic polynomial are - 5 and 3 respectively the quadratic polynomial is equal to<br>
Question 26 :
If $\alpha, \beta, \gamma$ are zeros of the polynomial $ax^3+bx^2+cx+d$, then $\alpha \beta \gamma = $<br/>
Question 27 :
The highest power of the variable in a polynomial is called its _______.
Question 28 :
If $\alpha$,$\beta$ are zero of quadratic polynomial $\displaystyle kx^2 + 6x + 6 $, then find the value of k such that $ \displaystyle ( \alpha + \beta )^2 2\alpha \beta = 24 $
Question 29 :
Find a quadratic polynomial, whose zero are reciprocal of zeroes of ${ ax }^{ 2 }+bx+c=$
Question 31 :
The degree of the expression<br>$(1+x)(1+{ x }^{ 6 })(1+{ x }^{ 11 })........(1+{ x }^{ 101 })$<br>is