Question

Find a quadratic polynomial, the sum and product of whose zeroes are 2 and - 3/5​

Answer 1

Answer:

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Given that,

➢ Sum of the zeroes : α + ß = 2

➢ Product of the zeroes : αß = -3/5

General form of quadratic polynomial is,

⟹ x² - (α + ß)x + αß = 0

➡ x² -(2)x + ( -3/5 ) = 0

➡ x² - 2x - 3/5 = 0

• By taking LCM as 5, we get..

➡ 5x² - 10x - 3 = 0

Therefore, the quadratic polynomial is 5x² - 10x - 3 = 0

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Step-by-step explanation:

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