Question

Obtain all zeroes of the polynomial 2x^3+x^2-6x-4 if two factors of this
polynomial are x+√3/2,x-√3/2​

Answer 1

Answer:

let

$p(x) = 2 {x}^{3} + {x}^{2} - 6x - 4$

given factors of p(x) are

$x + \sqrt{(3 \div 2} andx - \sqrt{(3 \div 2}$

$this \: imlies \: {x}^{2} - 3 \div 2 \: is \: also \: a \: factor \: of \: p(x)$

$divide \: p(x) \: by \: {x}^{2} - 3 \div 2$