The polynomial p(x)=3x^3-20x^2+37x-20 has a known factor of (x-4). Rewrite p(x) as a product of linear factors. p(x) =

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:

32

step-by-step explanation: