Question

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

(i) Sum = -1, Product = 2
a) x² - x + 2
b) x² + x + 2
c) x² - x - 2
d) x² + x - 2

Answer 1

To find a quadratic polynomial with given sum and product of its zeroes, we can use the formula x^2 - (sum of zeroes)x + product of zeroes = 0. For the given values (i) Sum = -1 and Product = 2, the quadratic polynomial is x^2 + x + 2 (Option b).

Step-by-step explanation:

To find a quadratic polynomial with given sum and product of its zeroes, we can use the formula x^2 - (sum of zeroes)x + product of zeroes = 0.

For the given values (i) Sum = -1 and Product = 2:

Plugging in these values, we get the quadratic polynomial x^2 - (-1)x + 2 = x^2 + x + 2 (Option b).