To demonstrate polynomial addition, you need to combine like terms from two or more polynomials. Here's a simple example:
Suppose we have the following two polynomials:
- Polynomial A: \( 3x^2 + 2x + 5 \)
- Polynomial B: \( 4x^2 + 3x + 1 \)
To add these polynomials, you would proceed as follows:
\[ (3x^2 + 2x + 5) + (4x^2 + 3x + 1) \]
Combine like terms:
- For \( x^2 \) terms: \( 3x^2 + 4x^2 = 7x^2 \)
- For \( x \) terms: \( 2x + 3x = 5x \)
- For the constant terms: \( 5 + 1 = 6 \)
Putting it all together, the result of the polynomial addition is:
\[ 7x^2 + 5x + 6 \]
So, the example \( (3x^2 + 2x + 5) + (4x^2 + 3x + 1) = 7x^2 + 5x + 6 \) correctly demonstrates polynomial addition.
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