find a quadratic polynomial whose zeroes are (5+√2) and (5-√2)

1.	find a quadratic polynomial whose zeroes are (5+√2) and (5-√2)
Answer» Given zeroes,5+√2 and 5-√2Sum of the zeroes=5+√2+5-√2Sum of the zeroes=10Product of zeroes=(5+√2)(5-√2)Product of zeroes=25-2=23We 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+23Hence x²-10x+23 is the required polynomial.\xa0OrSo, f(x) = k {x2\xa0- 10x + 23}, where, k is any non-zero real number.

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