what must be a factor of the polynomial function f(x) graphed on the coordinate plane below?\no x - 3\no x…
what must be a factor of the polynomial function f(x) graphed on the coordinate plane below?\no x - 3\no x - 1\no x + 1\no x + 3
Answer
Answer:
D. (x + 3)
Explanation:
Step1: Recall factor - root relationship
If (x = a) is a root of the polynomial function (y = f(x)), then ((x - a)) is a factor of (f(x)).
Step2: Identify the root from the graph
The graph of the polynomial function (y = f(x)) intersects the (x) - axis at (x=-3). So (x=-3) is a root of the polynomial function.
Step3: Determine the factor
If (x=-3) is a root, then (x-(-3)=x + 3) is a factor of the polynomial function.