Question

Use the graph below to answer the following questions: What is a possible degree for the following graph? Which of the following is a factor of the polynomial?Which of the following points is a relative maximum?

Answer 1

Given:

Find-:

A possible degree for the following graph.

A factor of the polynomial

relative maximum

Sol:

(a)The degree of function is:

The function has the most n x-intercept

The function has most (n-1) turns

Here, x - the intercept is 5 then the degree is 5.

(c)The relative maximum is:

`\begin{gathered} \text{ Relative maximum at }x=-1 \\ \\ \text{ Then relative maximum is }3. \end{gathered}`

(b)

Factor of polynomial is:

`f(x)=(x+3)(x+2)(x)(x-2)(x-3)`