Question

Find thequadratic polynomial Whose zero are given - 5,-7​

Answer 1

Explanation:

As the zeroes are given, i.e., -7 and -5.

∴ Sum of roots =-7+(−5)=-7−5=-12

Product of roots =-7×(−5)=35

As we know that, a quadratic polynomial whose xeroes are given can be represented as-

x

-12

−(sum of roots)x+product of roots=0

⇒x

-12

−(-12)x+(−35)=0

⇒x

-12

12x−35=0

Hence, the polynomial is x

2

−2x−35=0.

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