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Find a quadratic polynomial whose zeros are 5 + √2 and 5 − √2. |
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Answer» Given zeroes, 5+√2 and 5-√2 Sum of the zeroes = 5+√2 + 5-√2 Sum of the zeroes = 10 Product of zeroes = (5+√2)(5-√2) Product of zeroes = 25 - 2 = 23 We know that quadratic polynomial is in the form of, =k{x2-(sum of zeroes)x+product of zeroes} By putting required values we get, = k{x2 - 10x + 23} = x2 - 10x + 23 Hence x2 - 10x + 23 is the required polynomial. |
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