Question

the quadrati polynomial having zeroes -2 and 4 is ​

Answer 1

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Answer 2

Let the zeroes be α and β.

So, α = - 2, β = 4 (Given)

Sum of zeroes = α + β = - 2 + 4 = 2

Product of zeroes = α*β = (- 2)(4) = - 8

The required polynomial is :

⇒ f ( x ) = x² - (α + β) x + α*β

⇒ f ( x ) = x² - (2) x + (- 8)

⇒ f ( x ) = x² - 2x - 8

Hence, the polynomial is x² - 2x - 8.