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If 1/5 and – 2 are respectively product and sum of the zeroes of a quadratic polynomial. Find the polynomial. This is a grade 10 NCERT problem. |
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Answer» GIVEN: PRODUCT of the zeroes = 1/5 Sum of zeroes = -2 TO FIND: The quadratic polynomial SOLUTION: We know that, The standard FORM of quadratic polynomial is, k {x² - (sum of zeroes)X + product of zeroes} Where, k ≠0 => k {x² - (-2)x + (1/5) => k {x² + 2x + 1/5} When k = 5 => 5(x² + 2x + 1/5) => 5x² + 10x + 1 Therefore, the required polynomial is 5x² + 10x + 1. |
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