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Anita simplifies $\frac{x ^{2} + 5 x + 6}{x + 2}$ .
Which factor pair of 6 adds up to 5, and what is the quotient?

Class 8Dividing Algebraic ExpressionsAlgebra

A2 and 3; quotient $x + 3$
B1 and 6; quotient $x + 6$
C2 and 3; quotient $x + 2$
D6 and 1; quotient $x + 1$

Step-by-Step Solution

2 + 3 = 5 and 2*3 = 6, so

x^{2} + 5 x + 6 = (x + 2) (x + 3)

. Dividing by

(x + 2)

gives

x + 3

.

Answer: A) 2 and 3; quotient

x + 3

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