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

Answer:

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

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

Step-by-step 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

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