Question

what are the zeroes of the polynomial p(x)=x²+x-6.Verify tge relationship between zeroes and coefficients​

Answer 1

Answer:

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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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