Question

two zeroes of polynomial x^3-6x^2+11x-6 are 2 and 3. find the third zero

Answer 1

if 2 and 3 are zeroes, x-2 and x-3 are factors of p(x)

therefore, x-2 *x-3 i.e . x^2 - 5x + 6 is also a factor.

divide x^3 - 6x^2 + 11x-6 by x^2 - 5x + 6.

q (x) = x + 1



therfore, the other zero is - 1.

@skb