a quadratic polynomial whose zeros are 2 and -3/2 is
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Step-by-step explanation:
Given zeros are
α=2 and
β= -3/2
⇒Sum of zeros =α+β=2+(-3/2)= 1/2
⇒Product of zeros
=α×β=2×(-3/2)= -3
⇒Quadratic polynomial=x2−(α+β)x+(α×β)
Quadratic polynomial =x2−(1/2)x+(−3)
∴ Quadratic polynomial =x2-1/2x−3
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