find the quadratic polynomial with two zeros as given - 1 ,7
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Solution:-
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.
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