Question

The number of quadratic polynomials whose zeroes are 2 and – 3, is  ______.

Answer 1

The number of quadratic polynomials whose zeroes are 2 and – 3, is infinitely many.

Explanation:

Any quadratic with zeros 2 and –3 has the form k(x – 2)(x + 3) = kx² + kx – 6k for any nonzero constant k. Different nonzero k give different quadratic polynomials, so there are infinitely many such polynomials.