quadraticpolynomialwhosezeroesare-2and-5.
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Here's the answer
The general form of a quadratic polynomial is:
x² - ( Sum of zeros ) x + ( Product of zeros )
Given that zeros are - 2 and - 5.
=> Sum = ( - 2 ) + ( - 5 ) -----( 1 )
= ( - 2 - 5 ) = - 7 -----( 1 )
Product = ( - 2 ) * ( - 5 )
= 10 -----( 2 )
Hence quadratic polynomial = x² - ( - 7 ) x + 10
= x² + 7x + 10
Verification :
Sum of zeros = - b / a ( a = 1 , b = 7 )
Product of zeros = c / a ( a = 1 , c = 10 )
Sum = - 7 [ From ( 1 ) ]
Sum = - b / a = - ( 7 ) / 1 = - 7
Product = 10 [ From ( 2 ) ]
Product = c / a = 10 / 1 = 10
All are equal.
Hence verified.
Hope my answer is correct
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