Question

Find the zeroesbof the polynomial p(x)=x²-4x+3 and verify the relationship between zeroes and cofficients ​

Answer 1

Answer:

$\alpha + \beta = - 4 \\ \alpha \beta = 3$

Step-by-step explanation:

$\alpha \: and \: \beta \: are \: the \: roots \: of \: given \: equation. \\ \alpha + \beta = - \frac{coefficient \: of \: x}{coefficient \:o f \: {x}^{2} } = - \frac{ - 4}{3} = - \frac{4}{1} = - 4 . \\ \\ \alpha \beta = \frac{constant \: term}{coefficient \:o f \: {x}^{2}} = \frac{3}{1} = 3$