Question

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Answer 1

Answer:

5x² - 10x - 3

Step-by-step explanation:

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

A.T.Q.,

It is given that :

• Sum of zeroes = α + β = 2

• Product of zeroes = αβ = - 3/5

The required polynomial is :

→ p(x) = k [ x² - (α + β)x + αβ ]

• Putting known value in it.

→ p(x) = k [ x² - (2)x + (- 3/5) ]

→ p(x) = k [ x² - 2x - 3/5 ]

→ p(x) = k [ (5x² - 10x - 3)/5 ]

→ p(x) = k/5 [ 5x² - 10x - 3 ]

• Putting k = 5.

→ p(x) = 5x² - 10x - 3

Hence, the required polynomial is 5x² - 10x - 3.

Answer 2

Answer:

refer to the attachment for the solution.