Write a polynomial that satisfies the given conditions.

Question

Degree polynomial with integer coefficients with zeros and .

Answer 1

If the zeros are 2 and -3, then the factors of the polynomial would be (x-2) and (x+3). Multiplying these factors together, we get:

(x-2)(x+3) = x^2 + x - 6

Therefore, the polynomial with integer coefficients that satisfies the given conditions is:

f(x) = x^2 + x - 6