Question

Find a quadratic
polynomial whose sum of zeroes is 4 and one zero is 5.​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

$let \: \alpha \: and \: \beta \: be \: the \: zeros \: of \: the \: polynomial \: f(x) \\ then \: \\ ( \alpha + \beta ) = 4 \\ and \: \\ (\alpha \beta ) = 5 \\ f(x) \: = \: {x}^{2} - \: ( \alpha + \beta )x \: + (\alpha \beta ) \\ f(x) = \: {x}^{2} - 4x + 5$