Problema Solution

Two factors of a polynomial, P(x), are (x+6) and (x−3). Which is a zero of P(x)?

Answer provided by our tutors

If (x+6) and (x−3) are indeed a factors of P(x), then the remainder after division by (x+6)*(x−3) will be zero.

Thus, two of the zeros are calculated by solving:

x + 6 = 0

x1 = - 6

x - 3 = 0

x2 = 3

Two zeros of P(x) are -6 and 3.