4s[sqare]-4s[plus] 1 find the zeroes of given polynomial and find coefficients and its zroes
If this is 4s2 - 4s + 1 then:
The coefficients of the polynomial are 4, -4 and 1.
Because it can be written as (2s - 1)2 there are two, i.e. repeated zeros, both at s = 1/2
If it is 4s2 -4(s+1) then:
The polynomial is 4s2 - 4s - 4 with coefficients 4, -4 and -4.
It doesn't factor so it's zeros are:
4×s2−4×s−4=0⇒{s=−(√5−1)2s=(√5+1)2}⇒{s=−0.6180339887498948s=1.6180339887498948}
.
If this is 4s2 - 4s + 1 then:
The coefficients of the polynomial are 4, -4 and 1.
Because it can be written as (2s - 1)2 there are two, i.e. repeated zeros, both at s = 1/2
If it is 4s2 -4(s+1) then:
The polynomial is 4s2 - 4s - 4 with coefficients 4, -4 and -4.
It doesn't factor so it's zeros are:
4×s2−4×s−4=0⇒{s=−(√5−1)2s=(√5+1)2}⇒{s=−0.6180339887498948s=1.6180339887498948}
.