Question

write the quadratic polynomial whose zeroes are 3/4 and -1/3​

Answer 1

Answer :

• The quadratic polynomial is x² - 5x/12 + 3/12.

Given :

• Zeroes of a quadratic polynomial are 3/4 and -1/3

To Find :

• The quadratic polynomial.

Solution :

Here

• Zeroes of the quadratic polynomial are 3/4 and -1/3

As we know that

Formula for finding quadratic polynomial is

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

→ x² - (α + β)x - αβ

Sum of zeroes :

→ 3/4 + (-1/3)

→ 3/4 - 1/3

→ (9 - 4)/12

→ 5/12

Product of zeroes :

→ 3/4 × (-1/3)

→ -3/12

Put the values in the formula

→ x² - (α + β)x - αβ

→ x² - (5/12)x - (-3/12)

→ x² - 5x/12 + 3/12

Hence, the quadratic polynomial is x² - 5x/12 + 3/12.