F(x)=x^3+6x^2+x^1/2 and g(x)=x^1/2 Find f(x)/g(x) A).x&5/2+6x&3/2-1 B).(x^5+6x^3+1)^1/2 C).x^5/2+6x^3/2+1 D).x^3/2+6x+x^1/4 E).x^3/2-6x+x^1/4

asked Dec 17, 2022 214k views

2 votes

F(x)=x^3+6x^2+x^1/2 and g(x)=x^1/2 Find f(x)/g(x)

A).x&5/2+6x&3/2-1
B).(x^5+6x^3+1)^1/2
C).x^5/2+6x^3/2+1
D).x^3/2+6x+x^1/4
E).x^3/2-6x+x^1/4

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2 votes

Answer:

C) x^5/2 +6x^3/2 +1

Explanation:

The relevant rule of exponents is ...

a^b/a^c = a^(b-c)

$(x^3+6x^2+x^(1/2))/(x^(1/2))=x^(3-1/2)+6x^(2-1/2)+x^(1/2-1/2)=\boxed{x^(5/2)+6x^(3/2)+1}$

Mdogan answered Dec 22, 2022

3.3k points

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