Question

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

2
O x-3
O x-1
O x + 1
Ox+3

Answer 1

Option B

A factor is x-1

Explanation:

To find the factors of the polynomial, we will have to look for the roots of the polynomial.

Whenever a polynomial is plotted on a graph, it is important to note that the root of the polynomial refers to the points where the line cuts the x-axis.

From our curve given in the question, the roots of the polynomial are:

x = 1 and x = 6

Let us consider the first root

x = 1

from this, we can get x-1 =0

We will have to take only this as our answer because we are looking for only one of the factors.

Hence, a factor is x-1 and also our correct answer.