35.6k views
2 votes
What is the completely factored form of f(x)=x^3+5x^2+16x+80 ?

f(x)=(x−5)(x−4i)(x+4i)

f(x)=(x+5)(x−4i)(x+4i)

f(x)=(x−5)(x−4)(x+4)

f(x)=(x+5)(x−4)(x+4)

1 Answer

6 votes

Answer:

B)
f(x)=(x+5)(x-4i)(x+4i)

Explanation:


f(x)=x^3+5x^2+16x+80\\\\f(x)=x^2(x+5)+16(x+5)\\\\f(x)=(x^2+16)(x+5)\\\\f(x)=(x-4i)(x+4i)(x+5)

Thus, the second choice is correct.

User Vtlinh
by
7.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories