Question

The polynomial function q(x)=3x^4 −8x^3 −13x^2 −22x+24 has known factors (x−3) and

(x−2). Rewrite q(x) as the product of linear factors. ___________.

Answer 1

To rewrite the polynomial function q(x) as the product of linear factors, perform polynomial long division using the known factors (x - 3) and (x - 2).

Step-by-step explanation:

To rewrite the polynomial function q(x) as the product of linear factors, we can use the known factors and perform polynomial long division. First, divide q(x) by (x - 3) to get the quotient and remainder. Then, divide the quotient by (x - 2) to get the final quotient. The linear factors will be (x - 3), (x - 2), and the final quotient.