P0lynomiaos whose zeroesare 5+√19and5-√19
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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.
Step-by-step explanation:
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