Question

4s²-4s+1 quadratic polynomial

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Answer 1

4s^2-2s-2s+1

2s (2s-1)-(2s-1)

(2s-1)(2s-1)

s=1/2 ,1/2

Answer 2

4s² - 4s + 1

4s² - 2s - 2s + 1

2s(2s-1)-1(2s-1)

(2s-1)(2s-1)

s = 1/2=α

s= 1/2= β

Relation

sum of zeroes = -b/a

(α+β)= -(-4)/4

(1/2+1/2) =4/4

2/2 = 1

1=1

prorduct of zeroes = c/a

αxβ = 1/4

1/2x1/2 = 1/4

1/4 = 1/4

verified.