Question

Find the zeroes of the quadratic polynomial x2

– 3x + 2. Verify the

relationship between zeroes and its coefficients.​

Answer 1

Answer:

Step-by-step explanation:

The zeroes of the given quadratic polynomial are 1, 2.

Given polynomial is    

                             -----------------------(1)

If  are roots of a polynomial, then the polynomial is written as

                   -----------------------(2)

Writing (1) in the form of (2), we get

                 

Comparing a and b, we get

                 

Hence, the roots of given polynomial are 2, 1.

Verification of relationships:

(i) Sum of roots =   =

            -2-1 = -3/1

              -3 = -3

(ii) Product of roots =      

               (-2)(-1) = 2/1

                  2 = 2