find the quadratic polynomial whose sum and product of zeros are -3/2 and -1
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Answer:
2x² + 3x - 2
Step-by-step explanation:
Sum of the zeroes of the polynomial = - 3/2
Product of the zeroes of the polynomial = - 1
Quadratic polynomial = k{ x² - ( Sum ) x + Product }
Where k ≠ 0
= k{ x² - ( - 3/2 )x + ( - 1 ) }
= k( x² + 3x/2 - 1 )
When k = 2
= 2( x² + 3x/2 - 1 )
= 2x² + 3x - 2
Therefore the polynomial is 2x² + 3x - 2
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