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:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

.

This polynomial has roots such that , given by the following formulas:

In this question:

We have the polynomial

It has a known factor . This means that the polynomial can be written as:

In which q(x) is a second order polynomial, because p is of the third degree and q is of the first degree(3 - 1 = 2). So

We have to find a, b and c. Then

Comparing both sides, we have that

Now we find the roots of this polynomial.

So, as a product of it's factors, we have that q is:

And p(x)

3x^3-x^2+6x-9

1/5^2 = 7.56/45