15
QuizMultiple Choice

Factoring Polynomials: Difference of Squares — Unit test

Question 15 • FL-1200700-Mathematics for College Algebra MIS

Which statement is true about the polynomial –10m4n3 + 8m2n6 + 3m4n3 – 2m2n6 – 6m2n6 after it has been fully simplified?

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

Explanation

Combine like terms: the coefficients of m⁴n³ add to −10 + 3 = −7, while the coefficients of m²n⁶ add to 8 − 2 − 6 = 0. The expression simplifies to −7m⁴n³, which is one term, so it is a monomial. Its degree is 4 + 3 = 7, so the true statement is “It is a monomial with a degree of 7.”

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