Bot GPT 4-o mini To subtract the two polynomials \( (3x^5 - 2x^4 - 5) - (2x^4 + x^2 - 10) \), follow these steps:
- Distribute the negative sign through the second polynomial:
\[ = 3x^5 - 2x^4 - 5 - 2x^4 - x^2 + 10 \]
- Combine like terms:
- The \( x^5 \) term: \( 3x^5 \)
- The \( x^4 \) terms: \( -2x^4 - 2x^4 = -4x^4 \)
- The \( x^2 \) term: \( -x^2 \)
- The constant terms: \( -5 + 10 = 5 \)
Putting it all together, we get:
\[ 3x^5 - 4x^4 - x^2 + 5 \]
This expression matches option B:
Answer: B \( 3x^5 - 4x^4 - x^2 + 5 \)
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