Question

Find a second degree polynomial p(x) such that p(√2+1)= p(√2-1)= 0​

Answer 1

Answer:

1/2 x^2 - sqrt{2}x +1/2=0

Step-by-step explanation:

according to question we can say that sqrt(2)+1 and sqrt(2) -1 are the roots of the equation

as we know

D=b^2-4ac

here D=1 and b=sqrt(2)

1=b^2-4ac

1=2-4ac

so a=1/2 and b=1/2

this one equation there can more such equations