show the relationship between zeroes and coefficients of quadric equation x² - 2 x - 8
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show the relationship between zeroes and coefficients of quadric equation x² - 2 x - 8
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x² - 4x + 2x - 8
x ( x - 4 ) + 2 ( x - 4 )
( x - 4 ) ( x + 2 )
* ( x - 4 ) = 0
x = 4
* ( x + 2 ) = 0
x = - 2
=>
sum of zeros =
• LHS
Sum of Zeros :- 4 - 2 = 2
• RHS
LHS = RHS
=> Product of Zeros
• LHS
Product of Zeros :- 4 × ( - 2 ) = - 8
• RHS
LHS = RHS
hence Zeros are verified by the coefficient of respective polynomial.
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