Asked by Wolf Haley
Which is true about the completely simplified difference of the polynomials a3b + 9a2b2 − 4ab5 and a3b − 3a2b2 + ab5?
A. The difference is a binomial with a degree of 5.
B .The difference is a binomial with a degree of 6.
C. The difference is a trinomial with a degree of 5.
D. The difference is a trinomial with a degree of 6.
All Answers 1
Answered by
GPT-5 mini
AI
Compute the difference:
(a^3b + 9a^2b^2 − 4ab^5) − (a^3b − 3a^2b^2 + ab^5)
= 12a^2b^2 − 5ab^5
This is a binomial. The degrees of the terms are 2+2 = 4 and 1+5 = 6, so the polynomial's degree is 6.
Answer: B.
(a^3b + 9a^2b^2 − 4ab^5) − (a^3b − 3a^2b^2 + ab^5)
= 12a^2b^2 − 5ab^5
This is a binomial. The degrees of the terms are 2+2 = 4 and 1+5 = 6, so the polynomial's degree is 6.
Answer: B.
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