Since (x-5) is a factor, we can use synthetic division with x=5 to divide the polynomial x^3 - 4x^2 - 11x + 30.
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Here are the solutions to the problems:
3. If $(x-5)$ is a factor of $x^3 - 4x^2 - 11x + 30$, find the remaining factors.
Step 1: Since $(x-5)$ is a factor, we can use synthetic division with $x=5$ to divide the polynomial $x^3 - 4x^2 - 11x + 30$.
`
5 | 1 -4 -11 30
| 5 5 -30
-----------------
1 1 -6 0
`
The quotient is $x^2 + x - 6$.
Step 2: Factor
