what are the zeroes of the polynomial p(x)=x²+x-6.Verify tge relationship between zeroes and coefficients
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Step-by-step explanation:
=⟩ x² - x - 6
=⟩ x² + 2x - 3x - 6
=⟩ x( x+2) -3 ( x+2 )
=⟩ x( x+2) -3 ( x+2 )=⟩ ( x+2 ) ( x-3)
x = -2 , 3
_____________________
Sum of Zeroes
= -2 +3 = 1
Alpha + beta = -b / a
= - (-1) = 1
_____________________
product of Zeroes
= -2 × 3 = -6
alpha × beta = c/a
= -6 / 1 = -6
______________________
Hence Proved
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