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Question
A quadratic polynomial the sum and product of whose zeroes are – 3 and 2 respectively, is ______.
Options
x2 + 3x + 2
x2 – 3x + 2
x2 – 3x – 2
x2 + 3x – 2
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Solution
A quadratic polynomial the sum and product of whose zeroes are – 3 and 2 respectively, is x2 + 3x + 2.
Explanation:
Given that,
Sum of zeroes = – 3
Product of zeroes = 2
Quadratic Polynomial is given by:
x2 – (Sum of zeroes)x + (Product of zeroes)
So, P(x): x2 – (– 3) x + 2
Required Quadratic Polynomial is x2 + 3x + 2.
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