Question

Write an expression with four terms containing the coefficients 3,6, and 9

Answer 1

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

Answer 2

The required expression is
`3x^3+6x^2+9x+1`.

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:

`x^3, x^2, x^1=x, x^0=1`

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:

`3x^3+6x^2+9x^1+1`

`3x^3+6x^2+9x+1`

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

Hence, the required expression is
`3x^3+6x^2+9x+1`.