Answer:
f(x)=4x
Step-by-step explanation:
In order to make the graph of f(x)= 4x we will find out few coordinates first and then plot them on the graph. In order to find the coordinates we will find the values of f(x) for random values of x .
Let us see:
x=1 ; f(x) = 4(1) = 4
x=2 ; f(x) = 4(2)=8
x=0 ; f(x) = 4(0)=0
x=-1 ; f(x)= 4(-1) = -4
x=-2 ; f(x)=4(-2)= -8
Hence our coordinates are
(-2,-8) ; (-1,-4) ; (0,0) ; (1,4) ; (2,8)
Now we plot those coordinates on x - y plane and join them to make our line. Please see the graph in the attachment.
The factors of this polynomial would be (x + 4)(x + 2)(x - 1).
To find these, you first have to start with long division to find the first factor. If you use x + 4 it would look like this.
=
Now we are left with only . We can factor this by looking for numbers that multiply to the last number and add to the middle number. 2 and -2 multiply to -2 and add to 1. Therefore, we'll use those in parenthesis in their place.
(x + 4)(x + 2)(x - 1)