Chapter 6 - Section 6.1 - The Greatest Common Factor and Factoring by Grouping - Exercise Set - Page 428: 111

False. The statement becomes true if we omit the word "not" in " ... is not neccessary..." so it reads: "... it is neccessary to write the 1 ..."

Write each term as the product of the GCF and its other factor: $3x\cdot 3x^{2}+3x\cdot 2x+3x\cdot 1$ Applying the distributive property, the terms $3x^{2},2x$ AND $1$ must be in the parentheses... $=3x(3x^{2}+2x+1)$