Question

Write a quadratic polynomial for which sum of roots = 4 and product of roots is 1.​

Answer 1

Answer:

x^2-4x+1

Step-by-step explanation:

$let \: the \: roots \: be \: \alpha \: and \: \beta \\ given \: \alpha + \beta = 4 \: and \: \alpha \beta = 1$

$a \: quadratic \: polynomial \: can \: be \: written \: as \: x^{2} - (\alpha + \beta )x + \alpha \beta$

so the quadratic polynomial is x^2-4x+1