What is the complete factorization of the polynomial below x^3+3x^2+9x+27?

Given is x^3 + 3x^2 + 9x +27

Let us try it using grouping . group of first two terms then group on last two terms

we can factor out x^2 from first two terms so it is x^2( x+ 3)

we can factor out 9 from last two terms that makes : 9 ( x+ 3)

given expression is written as : x^2( x+3) + 9 ( x+3)

Now there are two terms being add having a common term ( x+3)

let us factor out it . ( x+3) ( x^2 +9 )

Answer ( x+3)( x^2+9)

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph