Question

please answer this question.​

Answer 1

Answer:

x² + x - 2

Step-by-step explanation:

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

♦ α = 1, β = - 2 (given)

• Sum of zeroes = α + β

→ (1) + (- 2)

→ 1 - 2

→ - 1

• Product of zeroes = αβ

→ (1)(- 2)

→ - 2

The required polynomial is :

→ p(x) = k [ x² - (α + β)x + αβ ]

• Putting known values.

→ p(x) = k [ x² - (- 1)x + (- 2) ]

→ p(x) = k [ x² + x - 2 ]

• Putting k = 1.

→ p(x) = x² + x - 2

Hence, the required polynomial is x² + x - 2.