find the quardratic polynomial whose zeroes are 1 and 8
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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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