What is the sum of the polynomials x² + 3x² + 11x + 4?

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To find the sum of the polynomials x², 3x², 11x, and 4, we need to combine like terms. Here’s a step-by-step breakdown:

  • First, identify like terms:
    • The terms x² and 3x² are like terms. We can combine these.
    • 11x and 4 do not have like terms, so they will remain as they are.

Now, we can combine the like terms:

  • Combine x² + 3x²:
    • This gives us 4x².

So, the sum of the polynomials becomes:

  • 4x² + 11x + 4

In conclusion, when we sum the polynomials x² + 3x² + 11x + 4, we get:

4x² + 11x + 4

This is the simplified form of the expression.

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