#### Answer

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 ..."

#### Work Step by Step

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...
$=3x(3x^{2}+2x+1)$