Question

I need help knowing how the graph would look like with a polynomial with roots 4,-2 and 7 thanks!

Answer 1

Answer:

Explanation:

Here, we want to get the graph of the polynomial

To get that, we have the expression of the polynomial as follows:

$\begin{gathered} if\text{ x = 4 , a linear factor is x-4} \\ x\text{ = -2, a linear factor is x+2} \\ x\text{ = 7 , a linear factor is x-7} \end{gathered}$

Thus, we have the polynomial expression as follows:

$(x-4)(x+2)(x-7_)$

Now, we can have the plot as shown below:

We have the y-intercept at y = 56