Question

find a quadratic polynomial whose one zero is 5 + root 7
​

Answer 1

Step-by-step explanation:

One zero say α=5

Product of roots=30

Another root be =β

We know, α⋅β=30

x-11x+30⇒β=

5

30

⇒β=6

Polynomial :(x−α)(x−β)=0

⇒p(x):(x−6)(x−5)=0

⇒p(x):x

2

−11x+30