Question

What are the zeroes of the polynomial x square-4x+1

Answer 1

Step-by-step explanation:

$the \: polynomial \: is \: \\ \\ {x}^{2} - 4x + 1 \\ \\ let \: the \: zeros \: of \: polynomila \: be \\ \alpha and \: \beta \\ \\ \alpha + \beta = - \frac{coefficient \: of \: x}{coefficient \: of {x}^{2} } \\ \\ \alpha + \beta = - \frac{( - 4)}{1} \\ \\ \alpha + \beta = 4 \\ \\ \alpha . \beta = \frac{constant \: term}{coefficent \: of \: {x}^{2} } \\ \\ \alpha . \beta = \frac{1}{1} \\ \\ \alpha . \beta = 1$

The zeros of polynomial are 4 and 1