Question

The rational function c(x) = (x²- 5x +2)/(x - 3) can be decomposed into q(x) (r(x))/(b(x)) what is q(x) =.?

A) q(x)=x+1
B) q(x)=x+2
C) q(x)=x−3
D) q(x)=x²−5x+2

Answer 1

The function q(x) for the given rational function c(x) = (x²- 5x +2)/(x - 3) is q(x) = x + 2.

Step-by-step explanation:

The rational function c(x) = (x²- 5x +2)/(x - 3) can be decomposed into q(x) (r(x))/(b(x)).

To find q(x), we need to perform polynomial division of the numerator (x²- 5x +2) by the denominator (x - 3).

Performing the division, we get q(x) = x + 2.