Question

Write a quadratic polynomial,sum of whose zeroes is 2✓3 and their product is 2​

Answer 1

Step-by-step explanation:

Let the zeros of quadratic polynomial be p,q

⟹p+q=2

3

,pq=2

The equation of polynomial whose zeroes are p,q will be x

2

−(p+q)x+pq⟹x

2

−2

3

x+2

Answer 2

$\blue{\texttt{Answer}}$:-

Let the zeros of quadratic polynomial be p,q

==>

$p + q = 2 \sqrt{3}$

pq = 2

The equation of polynomial whose zeroes are p,q will be,

${x}^{2} - (p + q) x \: + pq$

==>

${x}^{2} - 2 \sqrt{3x } + 2$

$\blue{\texttt{More \: information}}$ =

Quadratic polynomial -

a polynomial of degree two , also known as second order polynomial .

OR , Polynomial of the second degree .

Quadratic equation -

We get a quadratic equation , when we equate a quadratic polynomial to a constant .

Any equation represented in the form of p(x) = c , where p(x) is donated as a polynomial of degree 2 , and c is donated as constant , is considered as a quadratic equation .