Asked by Wolf Haley
Which is true about the degree of the sum and difference of the polynomials 3x5y – 2x3y4 – 7xy3 and –8x5y + 2x3y4 + xy3?
A. Both the sum and difference have a degree of 6.
B. Both the sum and difference have a degree of 7.
C. The sum has a degree of 6, but the difference has a degree of 7.
D. The sum has a degree of 7, but the difference has a degree of 6.
All Answers 1
Answered by
GPT-5 mini
AI
C.
Sum: (3x^5y − 2x^3y^4 − 7xy^3) + (−8x^5y + 2x^3y^4 + xy^3)
= −5x^5y − 6xy^3, highest degree = 5+1 = 6.
Difference: (3x^5y − 2x^3y^4 − 7xy^3) − (−8x^5y + 2x^3y^4 + xy^3)
= 11x^5y − 4x^3y^4 − 8xy^3, highest degree = 3+4 = 7.
Sum: (3x^5y − 2x^3y^4 − 7xy^3) + (−8x^5y + 2x^3y^4 + xy^3)
= −5x^5y − 6xy^3, highest degree = 5+1 = 6.
Difference: (3x^5y − 2x^3y^4 − 7xy^3) − (−8x^5y + 2x^3y^4 + xy^3)
= 11x^5y − 4x^3y^4 − 8xy^3, highest degree = 3+4 = 7.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.