The sum of the zeros and the product of zeros of a quadratic polynomial are −12 and −3 respectively. Write the polynomial.
Given the sum of zeroes: (α+β)=−12
Product of zeroes: (αβ)=−3
Recall that the quadratic polynomial with zeroes α,β is given by x2−(α+β)x+(αβ)
⇒x2−[−12]x+(−3)
⇒x2+(12)x−3