Question

.Find all the zeroes of the polynomial 8x4 + 8x3 – 18x2 – 20x – 5, if it is
given that two of its zeroes are√
5
2
and -√
5
2

Answer 1

Answer:

2x

$2x {}^{2} - 5 \\ is \: one \: \: ofthe \: factor \\ 8 {x}^{4} + 8x {}^{3} - 18 {x}^{2 } - 20x + 1 \\ \\ 4x {}^{2} + 4x + 1 \\ (2x + 1)( 2x + 1) \\ - \frac{1}{2}$