# Chapter 8 - Polynomials and Factoring - Mid-Chapter Quiz: 29

$n^{2}$ + 6n + 8

#### Work Step by Step

n is an even number. The number after n would be n+2 The number after n+2 would be n+2+2= n+4 thus (n+2)(n+4) Use FOIL to simplify. FOIL: First (Multiply the first variables in the brackets), outside (Multiply the outer variables), Inside (Multiply the inside variables), Last (Multiply the last variables in the brackets). = (n+2)(n+4) = $n^{2}$ + 2n + 4n + 8 *** Add like terms = $n^{2}$ + 6n + 8

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