Answer:
Step-by-step explanation:
p(x) has degree 3
(x - 4) has degree 1
So p(x) can be rewritten as a polynomial of degree 2 multiplying (x-4)
So
To find a, b and c, we have to divide p(x) by x - 4.
So
Finding a:
Dividing the first term of p(x) by x - 4.
So a = 3.
Now multiplying 3x² by, x - 4, we have:
Subtracting p(x) from this:
Finding b:
Dividing the first term, after the subtraction, by x - 4.
So b = -8.
Multiplying -8x by x - 4, we have:
Then
Finding c:
So c = 5.
Just to verify if the remainder is 0.
Ok
Then: