4
QuizMultiple Choice

Introduction to Polynomials

Question 4 • Common Core Algebra I B-IC

Which term could be put in the blank to create a fully simplified polynomial written in standard form?8x3y2−_____+3xy2−4y3

Answer
A
x2y2
B
x3y3
C
7xy2
D
7x0y3

Explanation

The blank must keep the polynomial in standard form and avoid creating like terms. The term x²y² has degree 4, so it fits after 8x³y² and before the degree-3 terms 3xy² and −4y³. Choice C would combine with 3xy², and choice D is another y³ term, so either would prevent the polynomial from being fully simplified.

AI-written and checked against the verified answer.

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