23
practice examMultiple Choice

Practice Exam

Question 23 • Algebra I

Which statement is true about the polynomial negative 10 m to the 4th power n cubed plus 8 m squared n to the 6th power plus 3 m to the 4th power n cubed minus 2 m squared n to the 6th power minus 6 m squared n to the 6th power after it has been fully simplified?

Answer
A
It is a monomial with a degree of 4 .
B
It is a binomial with a degree of 8 .
C
It is a monomial with a degree of 7 .
D
It is a binomial with a degree of 6 .

Explanation

Combine like terms: the terms with m⁴n³ give −10 + 3 = −7, while the terms with m²n⁶ give 8 − 2 − 6 = 0. The simplified polynomial is −7m⁴n³, which is a monomial. Its degree is 4 + 3 = 7, so the true statement is “It is a monomial with a degree of 7.”

AI-written and checked against the verified answer.

Previous
Next