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What is the quotient (x3 + 8) ÷ (x + 2)? x2 + 2x + 4 x2 – 2x + 4 x2 + 4 x2 – 4

2 Answers

1 vote

Answer:

why are you booing the guy above me he's right?

Explanation:

Yeah my home slice is correct it's B

UNNUS ANUS UNNUS ANUS

User Lakiesha
by
5.4k points
3 votes

Answer:


x^2-2x+4

Explanation:

The given expression is


(x^3+8)/(x+2)

Recall and use the following property to factor the numerator;


a^3+b^3=(a+b)(a^2-ab+b^2)


(x^3+2^3)/(x+2)=((x+2)(x^2-2x+2^2))/((x+2))

This will give us;


(x^3+2^3)/(x+2)=((x+2)(x^2-2x+4))/((x+2))

Simplify;


(x^3+2^3)/(x+2)=x^2-2x+4

User Pepster
by
4.7k points