Question

Form a quadratic polynomial whose one zero is 8 and the product of zeroes is -56??​

Answer 1

Answer:

One zero say α=−8 and another be β

Sum of zeroes=α+β=0

⇒−8+β=0

⇒β=8

Polynomial ⇒p(x)=(x−α)(x−β)

⇒p(x)=(x−8)(x+8)

⇒p(x)=x2−64

Answer 2

Step-by-step explanation:

One zero say α=−8 and another be β

Sum of zeroes=α+β=0

⇒−8+β=0

⇒β=8

Polynomial ⇒p(x)=(x−α)(x−β)

⇒p(x)=(x−8)(x+8)

⇒p(x)=x

2

−64

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