Question

x²+√x+2 is a quadratic polynomial​

Answer 1

Answer:

We have,

x

2

+x−2=0

(x+2)(x−1)=0

x=−2,1…(1)

Relation between zeroes and quadratic polynomial can be verified by sum of roots and product of roots.

Let α and β be two roots which are equal to−2 and 1 respectively.…from(1)

As we know,

α+β=

a

−b

⇒

1

−1

=−1

αβ=

a

c

⇒

1

−2

=−2

Hence, the relationship between zeros and coefficients of polynomial is verified.