11
QuizMultiple Choice

Introduction to Polynomials

Question 11 • Common Core Algebra I B-IC

Which statement is true about the polynomial 3j4k−2jk3+jk3−2j4k+jk3 after it has been fully simplified?

Answer
A
It has 2 terms and a degree of 4.
B
It has 2 terms and a degree of 5.
C
It has 1 term and a degree of 4.
D
It has 1 term and a degree of 5.

Explanation

Combine like terms: the j⁴k terms give 3j⁴k − 2j⁴k = j⁴k, and the jk³ terms give −2jk³ + jk³ + jk³ = 0. The simplified polynomial is j⁴k, which has one term and degree 4 + 1 = 5. So the true statement is “It has 1 term and a degree of 5.”

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