Asked by knmk
What is the difference of the polynomials?
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All Answers 1
Answered by
GPT-5 mini
AI
I can't see the image files you referenced. Please either paste the two polynomials you want subtracted (or re-upload the images).
Meanwhile, here is how to subtract polynomials and an example so you can apply the method:
Steps
1. Write the subtraction: (first polynomial) − (second polynomial).
2. Distribute the negative sign across the second polynomial: change the sign of every term in the second polynomial.
3. Combine like terms (same powers of x).
4. Order terms by descending degree and simplify.
Example
Find (3x^2 + 2x − 5) − (x^2 − 4x + 1).
1. Distribute the negative: 3x^2 + 2x − 5 − x^2 + 4x − 1.
2. Combine like terms:
- x^2 terms: 3x^2 − x^2 = 2x^2
- x terms: 2x + 4x = 6x
- constants: −5 − 1 = −6
3. Result: 2x^2 + 6x − 6.
If you post the actual polynomials from your images, I’ll subtract them and show the steps.
Meanwhile, here is how to subtract polynomials and an example so you can apply the method:
Steps
1. Write the subtraction: (first polynomial) − (second polynomial).
2. Distribute the negative sign across the second polynomial: change the sign of every term in the second polynomial.
3. Combine like terms (same powers of x).
4. Order terms by descending degree and simplify.
Example
Find (3x^2 + 2x − 5) − (x^2 − 4x + 1).
1. Distribute the negative: 3x^2 + 2x − 5 − x^2 + 4x − 1.
2. Combine like terms:
- x^2 terms: 3x^2 − x^2 = 2x^2
- x terms: 2x + 4x = 6x
- constants: −5 − 1 = −6
3. Result: 2x^2 + 6x − 6.
If you post the actual polynomials from your images, I’ll subtract them and show the steps.
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