the graph of a polynomial is shown. click on all the factors of the polynomial. (x + 1) (x + 3) (x - 1) (x…

the graph of a polynomial is shown. click on all the factors of the polynomial. (x + 1) (x + 3) (x - 1) (x - 3) (2x + 3) (2x + 1) (2x² + 3)

the graph of a polynomial is shown. click on all the factors of the polynomial. (x + 1) (x + 3) (x - 1) (x - 3) (2x + 3) (2x + 1) (2x² + 3)

Answer

Explanation:

Step1: Identify x - intercepts

The x - intercept of the polynomial graph is the value of x where y = 0. From the graph, the x - intercept is x=-1.

Step2: Use factor - theorem

According to the factor - theorem, if x = a is a root of a polynomial (i.e., the polynomial value is 0 at x = a), then (x - a) is a factor of the polynomial. Since x=-1 is a root, (x + 1) is a factor.

Answer:

(x + 1)