what must be a factor of the polynomial function f(x) graphed on the coordinate plane below?\no x - 4\no x…
what must be a factor of the polynomial function f(x) graphed on the coordinate plane below?\no x - 4\no x - 2\no x + 2\no x + 4
Answer
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 (f(x)) intersects the (x) - axis at (x=-2). This means (x = - 2) is a root of the polynomial function (f(x)).
Step3: Determine the factor
If (x=-2) is a root, then (x+2=0). So, ((x + 2)) is a factor of the polynomial function (f(x)).
Answer:
C. (x + 2)