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Question
A quadratic polynomial whose sum and product of zeroes are 2 and – 1 respectively is ______.
Options
x2 + 2x + 1
x2 – 2x – 1
x2 + 2x – 1
x2 – 2x + 1
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Solution
A quadratic polynomial whose sum and product of zeroes are 2 and – 1 respectively is x2 – 2x – 1.
Explanation:
Given, that
Sum of zeroes = 2
Product of zeroes = – 1
Quadratic polynomial is given
x2 – (Sum of zeroes) x + Product at zeroes
`\implies` x2 – (2) x + (–1)
`\implies` x2 – 2x – 1
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