Question

The quadratic polynomial whose zeros are √5 + √2 and √5 – √2

Answer 1

Answer:

Step-by-step explanation:

sum of zeroes = √5+√2+√5-√2 = 2√5

product of zeroes = (√5+√2)(√5-√2)

                              = 5-√10+√10-2 = 3

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[x²-2√5+3]

so, answer is x²-2√5+3

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