Form a quadratic polynomial whose zeroes
are 7 + root5 and 7- root5.
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Answer:As the zeroes are given, i.e., 7 and -5.
∴ Sum of roots =7+(−5)=7−5=2
Product of roots =7×(−5)=−35
As we know that, a quadratic polynomial whose xeroes are given can be represented as-
x
2
−(sum of roots)x+product of roots=0
⇒x
2
−(2)x+(−35)=0
⇒x
2
−2x−35=0
Hence, the polynomial is x
2
−2x−35=0.
Step-by-step explanation:
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