Question

find the quadratic polynomial whose zeroes are 3 nd 2​

Answer 1

Answer:

formula x^2-(sum of zeroes) x + product of zeroes

then

2+3=5 & 2*3=6

so that

x^2 - 5x + 6 =0

Answer 2

Answer :-

• The quadratic polynomial is x² - 5x + 6.

Given :-

• Zeros of a quadratic polynomial are 3 and 2.

To Find :-

• The quadratic polynomial.

Solution :-

As we know that

Formula of quadratic polynomial is

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

→ x² - (α + β)x + αβ

Here

• α = 3
• β = 2

Sum of zeros

→ 3 + 2

→ 5

Product of zeros

→ 3 × 2

→ 6

Put the values in the formula

x² - (α + β)x + αβ

→ x² - (5)x + 6

→ x² - 5x + 6

Hence, the quadratic polynomial is x² - 5x + 6.