Given that (x + 2) is a linear factor of the polynomial x3 + 4x2 + x – 6, what are the other two linear factors?A. (x – 1) and (
1 answer:
You might be interested in
For problems like this, we need to find the pattern between the set of numbers to create a general equation for f(x). Given that x is the shipment number, let us first observe the first six shipments' behavior.
1 10 |
2 16 = 10 + 1(6) |
3 22 = 10 + 2(6) |
4 28 = 10 + 3(6)|
5 34 = 10 + 4(6) |
6 40 = 10 + 5(6) |
From these, we can observe that given x number of shipments, the total number of objects would be
. Thus, given f(x), we have
Answer: f(x) = 6x + 4
1 10 |
2 16 = 10 + 1(6) |
3 22 = 10 + 2(6) |
4 28 = 10 + 3(6)|
5 34 = 10 + 4(6) |
6 40 = 10 + 5(6) |
From these, we can observe that given x number of shipments, the total number of objects would be
Answer: f(x) = 6x + 4