Question

find the zeroes of the quadratic polynomial the sum and product of whose zeroes are 4and 4 respectively​

Answer 1

Given: Sum of zeroes = α + β = 4 Product of zeroes = αβ = 1 Then, the quadratic polynomial = x2 – (sum of zeroes)x + product of zeroes = x2 –

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Answer 2

Step-by-step explanation:

$= > xy = 4 \\ = > x + y = 4 \\ = > y = 4 - x \\ = > x(4 - x) = 4 \\ = > 4x - {x}^{2} = 4 \\ = > {x}^{2} - 4x + 4 = 0 \\ = > {x}^{2} - 2x - 2x + 4 = 0 \\ = > x(x - 2) - 2(x - 2) = 0 \\ = > (x - 2)(x - 2) = 0 \\ = > x = 2 \: or \: x = 2 \\ = > y = 4 - 2 = 2$

Therefore, 2 and 4 are the zeroes of the polynomial.