Question

Find a polynomial whose sum and product of zeros are root 2 and 3

Answer 1

Answer:

p(x)=x^2−2x+3

Step-by-step explanation:

Sum of roots=α+β= -b/a = 2

Product of roots=αβ= a/c =3

Polynomial: p(x)=x^2(α+β)x+αβ=0

p(x)=x^2−2x+3

Hope it helps you

Answer 2

Answer:

p(x)=x^2−2x+3

Step-by-step explanation:

Sum of roots=α+β= -b/a = 2

Product of roots=αβ= a/c =3

Polynomial: p(x)=x^2(α+β)x+αβ=0

p(x)=x^2−2x+3

Hope it helps you