Question

Write a quadratic polynomial whose zeroes are 5 and - 7
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Answer 1

Answer:

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.

Step-by-step explanation:

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