Question

Find the quadratic polinomial whose one zero is √5 and product of zeroes is -2√5.
Please answer ASAP

Answer 1

Answer:

$Quadratic \: polynomal = {x}^{2} - x \sqrt{5} + 2x - 2 \sqrt{5}$

Step-by-step explanation:

$α= \sqrt{5} \\ αβ=(-2 \sqrt{5} ) \\ \beta \sqrt{5} = ( - 2 \sqrt{5} ) \\ \beta = \frac{( - 2 \sqrt{5}) }{ \sqrt{5} } \\ \beta = ( - 2) \\Quadratic \: polynomal \\ = {x}^{2} - ( \alpha + \beta )x + \alpha \beta \\ = {x}^{2} - ( \sqrt{5} - 2)x + ( \sqrt{5} )( - 2) \\ = {x}^{2} - x \sqrt{5} + 2x - 2 \sqrt{5}$