Question

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

respectively. ​

Answer 1

Answer:

x^2 - 5x+ 2

Step-by-step explanation:

Let the roots be a and b

so, Given: a+ b = -5

ab =2

According to formula,

x^2 + ( a+ b)x + ab

= x^2+(-5) x + 2

= x^2 - 5x + 2

Answer 2

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