Q. 2 F4.4( 16 Votes )

# <span lang="EN-US

Given: α + β = 4

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 = -4 …(2) c = 1 …(3)

From (2) and (3),

a = 1, b = -4 and c = 1

Hence, the polynomial is x2 - 4x + 1

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