Question

Just explain me how to split middle term in this polynomial please​

Answer 1

Answer

Given expression

x^2-2rt5x +3

=x^2 - (rt5+rt2)x - (rt5-rt2)x+ (rt5+rt2)(rt5-rt2)

=x{x-(rt5+rt2)} - (rt5-rt2){x-(rt5+rt2)}

={x-(rt5+rt2)}{x-(rt5-rt2)}