Find the zeroes of the quadratic polynomial x^2 + 7x + 10, and verify the relationship
between the zeroes and the coefficients.
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X² + 7x + 10 = 0
x² + 2x + 5x + 10 = 0
x ( x + 2 ) +5 ( x + 2 ) = 0
( x + 2 )(x + 5 ) = 0
x + 2 = 0 ; x = -2
x + 5 = 0 ; x = -5
Relationship between the zeroes and coefficient :-
Sum of zeroes = -2+(-5) = -2-5
= -7/1 = -x coefficient / x² coefficient
product of zeroes = -2(-5)
= 10/1 = constant / X² coefficient
Hope it is helpful
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