Question

find zeros of the following polynomials and verify the relationship between the zeros and the coefficient. 1] f(x)=√2x^2+ 5x√3​

Answer 1

$\sqrt{2} {x}^{2} + 5x \sqrt{3 } = 0 \\ {x }^{2} + 5x \sqrt{3 \div 2} = 0 \\ {x}^{2} = - 5x \sqrt{3 \div 2 + } \\ x = 0 \\ x = - 5 \sqrt{3 \div 2}$

$\alpha + \beta = - 3 \sqrt{3 \div 2} \\ \alpha \beta = 0$