A polynomial function of degree four is given by 𝑓(𝑥) = 4𝑥4 − 8𝑥3 − 5𝑥2 + 18𝑥 − 9. Which of the following represents the complete linear factorization of the function?
A
𝑓(𝑥) = (2𝑥 + 3)(2𝑥 − 3)(𝑥 − 1)2
B
𝑓(𝑥) = (2𝑥 + 3)(2𝑥 − 3)(𝑥 + 1)(𝑥 − 1)
C
𝑓(𝑥) = (2𝑥 + 3)(2𝑥 − 3)(𝑥 − 1)
D
𝑓(𝑥) = (2𝑥 − 3)(𝑥 − 1)2

Question

A polynomial function of degree four is given by 𝑓(𝑥) = 4𝑥4 − 8𝑥3 − 5𝑥2 + 18𝑥 − 9. Which of the following represents the complete linear factorization of the function?
A	
𝑓(𝑥) = (2𝑥 + 3)(2𝑥 − 3)(𝑥 − 1)2
B	
𝑓(𝑥) = (2𝑥 + 3)(2𝑥 − 3)(𝑥 + 1)(𝑥 − 1)
C	
𝑓(𝑥) = (2𝑥 + 3)(2𝑥 − 3)(𝑥 − 1)
D	
𝑓(𝑥) = (2𝑥 − 3)(𝑥 − 1)2