Question

Find a quadratic polynomial whose zeroes are 6 and – 3.

Answer 1

P(x) = k[x² – Sx + p]

where k = non-zero constant

S = sum of zeroes

p = product of zeroes

∴ P(x) = k[x² – (6 – 3) + 6(– 3))

= k(x² – 3x – 18)