Combine the expression 4x² + 3x - 2x² + x.

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Master Algebraic Simplification by combining like terms effectively. Study with engaging quizzes, detailed explanations, and various question formats. Ace your exam!

Multiple Choice

To combine the given expression (4x^2 + 3x - 2x^2 + x), start by categorizing the terms based on their degree (the exponent of the variable).

First, identify the like terms:

Quadratic Terms: These are the terms that include (x^2), which are (4x^2) and (-2x^2).
Linear Terms: These are the terms with (x), which are (3x) and (x).

Now combine the like terms in both categories:

For the quadratic terms:

[

4x^2 - 2x^2 = (4 - 2)x^2 = 2x^2

]

For the linear terms:

[

3x + x = 3x + 1x = (3 + 1)x = 4x

]

Putting both results together, we combine the simplified quadratic and linear components:

[

2x^2 + 4x

]

Thus, the final simplified expression is (2x^2 + 4x), which corresponds to the first choice. This process demonstrates