Question

Create an expression that fits all of the following conditions: There are exactly four terms. Exactly two of the terms are like terms. At least one term is an integer. Simplify the expression that you created.

Answer 1

The expression created is:
`3x^2+3x+8x-7`

Simplified, we obtain :
`3x^2+11x-7`

Explanation:

We are to create an expression that satisfies the following conditions

• There are exactly four terms.
• Exactly two of the terms are like terms.
• At least one term is an integer.

Let the two like terms be 3x and 8x

Let the integer term = -7

Let the other term
`=3x^2`

Our written expression is therefore:

`3x^2+3x+8x-7`

We simplify the expression by solving the like terms for a single term

`3x+8x=11x\\$Therefore\\3x^2+3x+8x-7=3x^2+11x-7`