Checkpoint: Remainder Theorem for Polynomials Solution

Find the value of n for P(6) = 5 for $P (x) = 3 x^{3} - 19 x^{2} + 10 x + n$ .

$\begin{array}{rcl} n + 24 & = & 5 \\ n & = & - 19 \end{array}$

Note

Q: What is the value (or zero of the divisor) you are using for synthetic division?
A: 6

Q: What value belongs in the remainder space?
A: 5

You need to complete the steps for synthetic division before an equation can be set up to solve for the value of n.