Question

Obtain a quadratic polynomial if The sum of zeros =⅓; the product of zeros =½

Answer 1

Answer :-

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

Given :-

• Sum and product of zeroes of a quadratic polynomial are ⅓ and ½.

To Find :-

• The quadratic polynomial.

Solution :-

As we know that

• Formula for finding a quadratic polynomial is

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

→ x² - (α + β)x + αβ

Here

• α + β = ⅓
• αβ = ½

Put the values in the formula

⇒ x² - (⅓)x + ½

⇒ x² - ⅓x + ½

Hence, the quadratic polynomial is x² - ⅓x + ½.