Question

Find the polynomial whose sum and product of the zeros are 5 and -3 ( Hint : Use P(x) = x2 – (sum of the zeros)x + (product of the zeros)

Answer 1

Given,

sum of zeroes = 5

product of zeroes = -3

To Find,

Polynomial p(x)

Solution,

As given in the question's hint,

p(x) = x² - (sum of zeroes)x + (product of zeroes)

-- p(x) = x² - 5x - 3