Question

Use the given factor and the graph of the 3rd degree polynomial to determine the missing factor:One factor is: x^2+2x+5 The graph is:positive 3rd degree polynomial with x intercept at x=2Type the missing factor in the space belowAnswer:

Answer 1

x-2

Explanation:

Given the graph and one factor of the third-degree polynomial as:

`x^2+2x+5`

From the polynomial, there is an x-intercept at x=2.

This means that 2 is a zero of the cubic polynomial. i.e.

`\begin{gathered} x=2 \\ \implies x-2=0 \end{gathered}`

Therefore, the missing factor of the polynomial is x-2.