SOLUTION: If P(– 2) = 0, which of the following statements is true about P(x)? A. x + 2 is a factor of P(x) C. P(x) = 0, has two negative roots B. 2 is root of P(x) = 0 D. P(0) =

Algebra ->  Sequences-and-series -> SOLUTION: If P(– 2) = 0, which of the following statements is true about P(x)? A. x + 2 is a factor of P(x) C. P(x) = 0, has two negative roots B. 2 is root of P(x) = 0 D. P(0) =       Log On


   

Question 982386: If P(– 2) = 0, which of the following statements is true about P(x)?
A. x + 2 is a factor of P(x) C. P(x) = 0, has two negative roots
B. 2 is root of P(x) = 0 D. P(0) = – 2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
If P%28-2%29=0, then P looks like,
P%28x%29=%28x%2B2%29Q%28x%29
where Q is a function of x,
P%28-2%29=%28-2%2B2%29Q%28-2%29
P%28-2%29=%280%29Q%28-2%29
So (x+2) is a factor of P(x).