Answer:
When you have a polynomial and you say that (x + 3) is a factor of that polynomial, it means that if you were to divide the polynomial by (x + 3), the result of that division would be another polynomial with a remainder of zero.
In other words, if you have a polynomial P(x), and you say that (x + 3) is a factor of P(x), then it implies:
P(x) = Q(x) * (x + 3)
Where:
P(x) is the original polynomial.
Q(x) is another polynomial.
(x + 3) is the factor.
This means that if you were to perform polynomial long division or synthetic division of P(x) by (x + 3), you would get a quotient polynomial Q(x) and a remainder of zero.
The factor (x + 3) indicates that when x is equal to -3, the polynomial P(x) equals zero, making -3 a root or solution of the polynomial equation P(x) = 0.
Explanation: