Question 1:
Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.
The value of

Therefore, the zeroes of

Sum of zeroes =
Product of zeroes


The value of 4s2 − 4s + 1 is zero when 2s − 1 = 0, i.e.

Therefore, the zeroes of 4s2 − 4s + 1 are


Sum of zeroes =

Product of zeroes


The value of 6x2 − 3 − 7x is zero when 3x + 1 = 0 or 2x − 3 = 0, i.e.,


Therefore, the zeroes of 6x2 − 3 − 7x are

Sum of zeroes =

Product of zeroes =

Question 2:
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.