find zeros of the polynomial 5x^2+6x+1 and verify the relation between zeros and coefficients
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P(x) = 5x^2 + 6x + 1
P(x) = 5x^2 + 5x + x + 1
P(x)= 5x( x+1 ) +1( x+1 )
P(x) = (x+1) ( 5x +1 )
so the factors of P(x) are (x+1) and (5x+1 )
zeros are x= -1
x= -1/5
sum of zeros = -1 +(-1/5) = -6/5
= -( coefficient of x) / coefficient of x^2
product of zeros = -1×-1/5 = 1/5
= constant term / coefficient of x^2
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