the quadrati polynomial having zeroes -2 and 4 is
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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.
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.
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