A polynomial P of degree 3 with integer coefficients

Question

A polynomial P of degree 3 with integer coefficients has zeroes x=-2, x=6 and x=-8 Use the factor theorem to write the polynomial in factored form

Answer 1

P(x) = a(x - z₁)(x - z₂)(x - z₃)

 

P(x) = a(x + 2)(x - 6)(x + 8)

 

where a is any integer ≠ 0.  You can choose a = 1 if no value of P(x) is specified at some point.

 

P(x) = (x + 2)(x - 6)(x + 8)