Question

Find the quadratic polynomail ,whose sum and product of zeroes 4,1​

Answer 1

Step-by-step explanation:

formula:x2-(alpha+beta)x+alphat×beta

x2-(4)x+1

x2-4x+1 is required polynomial

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Answer 2

$\alpha + \beta = 4 \\ \: \: \: \: \: \alpha \beta = 1$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: p(x) = {x}^{2} - ( \alpha + \beta )x + \alpha \beta \\ p(x) = {x}^{2} - 4x + 1$