Answer :

One possible answer is: 3x² + 6xy + 9y² + 1

Answer:

The required expression is [tex]3x^3+6x^2+9x+1[/tex].

Step-by-step explanation:

Consider the provided information.

Let x is the variable used in the expression.

The expression should contain 4 terms, thus the powers of x will be:

[tex]x^3, x^2, x^1=x, x^0=1[/tex]

Now it is given that the coefficients are 3, 6 and 9.

Assign the coefficients 3,6, and 9 with the above power as shown:

[tex]3x^3+6x^2+9x^1+1[/tex]

[tex]3x^3+6x^2+9x+1[/tex]

Note: There can be infinite many possible expression with four terms containing the coefficients 3,6, and 9

Hence, the required expression is [tex]3x^3+6x^2+9x+1[/tex].