GOZUNTA
Try it now
Problem preview
A-APR.1 Warmup M2-001-A07-V02

Add, subtract, and multiply polynomials; understand polynomial closure under these operations.

Use an area model to multiply polynomials and combine like terms

Problem

Complete the displayed area model for \((2x~-~1)(x^{2}~+~3x~+~2)\). Report the \(\text{six}~\text{cells}\) in row-major order across the \(2x\) row and then the \(-1\) row, and give the combined product.

An unfilled two-by-three polynomial area model. Columns are labeled x squared, 3x, and 2; rows are labeled 2x and negative 1. Each of the six cells contains a question mark. Open full size
Inside Gozunta

Turn the preview into practice.

More than a preview

Gozunta lets you study this problem—and more than 10,000 others.

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now
Four variants of this problem type
Curriculum context
Course
Math II
Standard
A-APR.1
Category
Algebra
Domain
Arithmetic with Polynomials and Rational Expressions
Objective
Add, subtract, and multiply polynomials; understand polynomial closure under these operations.
Problem type
Use an area model to multiply polynomials and combine like terms