Question

Form a quadratic polynomial P (t) in variable t whose zeros are 22/7 and pi

Answer 1

Find a quadratic polynomial whose zeros are 7 and −5

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.