f(x) = x3 + 3x2 - x - 3

Part A: What are the factors of f(x)? Show your work. (3 points)

Part B: What are the zeros of f(x)? Show your work. (2 points)

Part C: What are the steps you would follow to graph f(x)? Describe the end behavior of the graph of f(x). (5 points)
a few moments ago

Question

f(x) = x3 + 3x2 - x - 3

Part A: What are the factors of f(x)? Show your work. (3 points)

Part B: What are the zeros of f(x)? Show your work. (2 points)

Part C: What are the steps you would follow to graph f(x)? Describe the end behavior of the graph of f(x). (5 points)
a few moments ago

mathmale · Answer

Part A:  Here's a hint:  the first group of two terms of the given polynomial and the second group of two terms have a binomial factor in common.  What is it?  Factor this out.

mathmale · Answer

Part B hint:  Look at the first and the last coefficients of this 3rd order polynomial function.  Multiply them together.  Then list the possible integer factors of the resulting product.  You'll identify four possible factors of the given polynomial in this manner.  If you know synthetic division, check each such possible factor that way to determine whether or not it's actually a factor of the polynomial.