4
QuizMultiple Choice

Adding and Subtracting Polynomials — Unit test

Question 4 • FL-1200700-Mathematics for College Algebra MIS

Which statement is true about the polynomial –3x4y3 + 8xy5 – 3 + 18x3y4 – 3xy5 after it has been fully simplified?

Answer
A
It has 3 terms and a degree of 5.
B
It has 3 terms and a degree of 7.
C
It has 4 terms and a degree of 5.
D
It has 4 terms and a degree of 7.

Explanation

Combine the like terms 8xy⁵ and −3xy⁵ to get 5xy⁵. The simplified polynomial is −3x⁴y³ + 18x³y⁴ + 5xy⁵ − 3, which has 4 terms. Its greatest term degree is 7: both x⁴y³ and x³y⁴ have exponents that add to 7, so the polynomial has degree 7. The true statement is that it has 4 terms and a degree of 7.

AI-written and checked against the verified answer.

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