Question

if x+12 is a factor of a polynomial, what would it tell you about the polynomial ​

Answer 1

Answer:

That is has root -12 meaning if you replace x with -12 you get 0.

Answer 2

Let p(x) = polynomial function.

Let g(x) = a factor of p(x).

g(x) = x + 12

Let g(x) be 0.

0 = x + 12

-12 = x

The binomial x + 12 tells us that -12 is the solution of p(x).

In other words, g(x) is a factor of p(x) because when x is -12, p(x) becomes 0.