Find m so that x+4 is a factor of 5x^3 + 18x^2 + mx + 16 i need a detailed explanation, please.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.3: The Remainder And Factor Theorems; Synthetic Division
Problem 107E
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Find m so that x+4 is a factor of 5x^3 + 18x^2 + mx + 16

i need a detailed explanation, please. 

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