Question

Quadratic polynomials, whose zeroes are – 4 and 3 are given by ______.

Answer 1

Quadratic polynomials, whose zeroes are – 4 and 3 are given by k(x² + x – 12), where k is a constant.

Explanation:

If a quadratic has zeros α and β then it can be written as k(x – α)(x – β). Here α = –4 and β = 3, so the polynomial is k(x + 4)(x – 3); expanding with k = 1 gives x² + x – 12.