Q. 2 D4.5( 11 Votes )

# Find the quadratic polynomial in each case, with the given numbers as the sum and product of its zeroes respectively.1, 1

Given: α + β = 1

αβ = 1

Let the quadratic polynomial be ax2 + bx + c …(1)

Where, a≠0

And zeroes of the polynomial are α and β .

Now we know that,

And,

If a = 1

b = -1 …(2)

c = 1 …(3)

From (2) and (3),

a = 1, b = -1 and c = 1

Hence, the polynomial is x2 – x + 1

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