Question

f(x) = x3 + 4x2 - x - 4

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)

Answer 1

someone please help!

Answer 2

@aajugdar

Answer 3

Use synthetic division

Answer 4

I don't know what that is

Answer 5

@triciaal

Answer 6

f(0)= -4
factors of -4 1,2,4
the long method use these values of x to find f(x)
if f(x) = 0 then you have a factor

when you get the first factor you can just use division to get a quadratic to factorize

Answer 7

f(x) = x3 + 4x2 - x - 4
f(1) = 1 + 4 -1 - 4 = 0
therefore (x-1) is a factor

Answer 8

was this for part a?

Answer 9

yes
part a means what are the x values for which f(x) = 0
1, -1, 4
f(x) = (x+1)(x-1)(x+4)