Algebra 2 Pre-AP
WS 8.6 B
Name: _________________________
Date: ______________ Per: ________
Create a PNI chart for each of the following.
1) P  x   x8  6 x7  3x6  7 x5  8x 4  x3
2) P  x   x  x  x  x  2
3) f  x   3x  2 x  3x  x  1
4) P  x   x  x  x  x  x  1
5
4
3
5
10
3
8
2
6
4
2
Create a PNI chart, list the possible rational roots, and find all roots for each of the following. Circle the row in your PNI chart
that matches the types of solutions.
5) f  x   8 x 4  32 x3  x  4
6) P(x) = x4 – 4x3 – 13x2 + 4x + 12
7) P(x) = x3 + x2 – 17x + 15
8) P(x) = 4x3 – 12x2 – x + 3
9) You are building a rectangular sandbox for a children’s playground. The width of the sandbox is 4 times its height. The
length of the sandbox is 8 ft more than 2 times its height. You have 40 ft3 of sand available to fill this sandbox. What are the
dimensions of the sandbox?