Question

find a quadratic polynomial whose sum and product of zeros are -2/5 and 1/3​

Answer 1

Answer :-

• The quadratic polynomial is x² + 2/5x + 1/3.

Given :-

• Sum and product of a quadratic polynomial as -2/5 and 1/3.

To Find :-

• The quadratic polynomial.

Solution :-

As we know that

Quadratic polynomial :-

→ x² - (sum of zeroes)x + product of zeroes

→ x² - (α + β)x + αβ

Here

• Sum of zeroes = -2/5
• Product of zeroes = 1/3

Put the values in the formula

→ x² - (-2/5)x + 1/3

→ x² + 2/5x + 1/3

Hence, the quadratic polynomial is x2 + 2/5x + 1/3.