Question

obtain the quadratic polynomial whose zeroes are 6 and - 2
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Answer 1

Answer:

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

+4Given 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