Question

a quadratic polynomial whose zeroes are √2 and √6 / 2 are (where k is non constant zero)
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Answer 1

Step-by-step explanation:

Given zeros are α=2 and β=−6.

⇒ Sum of zeros =α+β=2+(−6)=−4

⇒ Product of zeros =α×β=2×(−6)=−12

⇒ Quadratic polynomial =x

2

−(α+β)x+(α×β)

⇒ Quadratic polynomial =x

2

−(−4)x+(−12)

∴ Quadratic polynomial =x

2

+4x−12