Question

Let sum of zeroes of P(x) is 5 and there product is -2 the quadratic polynomial P(x)= [ ]​

Answer 1

Method:

If p be the sum of the zeroes and q be the product of the zeroes of any quadratic polynomial, then the polynomial is given by

f(x) = x² - px + q

Given:

• Sum of zeroes, p = 5
• Product of zeroes, q = - 2

Solution: Using the above formula, we find the required polynomial

P(x) = x² - (5) x + (- 2)

= x² - 5x - 2

Answer: P(x) = x² - 5x - 2