9
QuizMultiple Choice

Introduction to Polynomials — Quiz

Question 9 • Algebra I

Which statement is true about the polynomial 3 j to the 4th power k minus 2 j k cubed plus j k cubed minus 2 j to the 4th power k plus j k cubed after it has been fully simplified?

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

Explanation

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

AI-written and checked against the verified answer.

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