Question

Write a quadratic polynomail sum of whose zeroes is 5 and product is 9​

Answer 1

Answer:

plz mark as brainliest nd do follow me

Step-by-step explanation:

x²+5x+9=0

Answer 2

Solution -

We have,

• Sum of zeroes = 5
• Product of zeroes = 9

⠀

Let the zeroes of the required polynomial be α and β. Then,

• α + β = 5
• αβ = 9

⠀

We know that, quadratic polynomial is given by

⠀⠀⠀⠀⠀★ x² - (α + β)x + αβ

⠀

Therefore, the required polynomial is

➝ x² - (5)x + 9

➝ x² - 5x + 9

⠀

Hence,

• The required polynomial is x² - 5x + 9.

━━━━━━━━━━━━━━━━━━━━━━