Question

if alpha and beta are zeroes of the polynomial x^2-4x+8, find the quadratic polynomial whose zeroes are 1 by alpha and 1 by beta​

Answer 1

a = 1 , b = -4, c = 8

sum of zero= -b/a

alpha+bita = -(-4)/1

alpha+bita =4

product of zero=c/a

alpha×bita = 8/1=8

1/alpha+1/bita

1/alpha+1/bita

bita+alpha / bita alpha

4/8=1/2

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