The zeros of the polynomial function are x= 1 and x = 5
The equation of the polynomial is given as:
P(x) = x^2 - 6x + 5
Expand the equation
P(x) = x^2 - 5x - x + 5
Factorize the equation
P(x) = x(x - 5) -1(x - 5)
Factor out x - 5
P(x) = (x - 1)(x - 5)
Set to 0
(x - 1)(x - 5) = 0
Solve for x
x= 1 and x = 5
Hence, the zeros of the polynomial function are x= 1 and x = 5
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