Write the quadratic polynomial with zeros −2 and 13.
The quadratic polynomial with zeros α,β is,
P(x)=k[x2−(α+β)x+αβ]
where, k is any non-zero real number.
∴ The quadratic polynomial with zeros −2,13 is,
P(x)=k[x2−(−2+13)x+(−2)(13)]
=k[x2+53x−23]
where, k is any non-zero real number.