The sum of zeros = -3; the product of zeros = -4.Obtain a quadratic polynomial with the given condition.
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Solution :
_________________________
If m , n are two zeroes of Quadratic
polynomial then
Quadratic polynomial
p(x) = x² - ( m + n )x + mn
__________________________
Here ,
m + n = -3 ,
mn = -4 ,
Required Quadratic polynomial
= x² - ( -3 )x + ( -4 )
= x² + 3x - 4
••••
_________________________
If m , n are two zeroes of Quadratic
polynomial then
Quadratic polynomial
p(x) = x² - ( m + n )x + mn
__________________________
Here ,
m + n = -3 ,
mn = -4 ,
Required Quadratic polynomial
= x² - ( -3 )x + ( -4 )
= x² + 3x - 4
••••
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