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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)
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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)

User Roberto Caboni
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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
3.1k points
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