Question

Write a quadratic equation, whose sum and product of zeroes is -5 and 2

respectively.​

Answer 1

Answer:

x² - 5x + 2

Step-by-step explanation:

→ Given zeroes = -5 and 2

→ Therefore, Sum of zeroes (α + β) = -5

→ Also, Product of zeroes (αβ) = 2

→ For finding the quadratic polynomial,

→ x² + (α + β)x + (αβ)

→ x² + (-5)x + (2)

→ x² - 5x + 2