Question

The number of rational roots of (2x+3)(2x + 5)(x-1)(x − 2) = 30 is

1) 4
2) 3
3) 2
4) 5

Answer 1

Hi,

2

Explanation:

`(x-1)*(x-2)*(2*x+3)*(2*x+5)-30\\\\=4*x^4+4*x^3-25*x^2-13*x\\\\=x*(x+(√(105)+1))/(4))*(2*x+(-(√(105)+1)/(2)*(2*x+1)\\The\ number\ of\ rational\ roots\ is\ 2.\\(0\ and\ -(1)/(2) )`