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A-APR.1 Warmup M2-001-A14-V04

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

Write and simplify a polynomial expression for geometric area or volume

Problem

A composite figure has \(\text{two}~\text{rectangles}\) sharing height \(x~+~1\), with widths \(2x\) and \(5\). Use the displayed dimensions to write a sum-of-areas model, simplify the total area, and state its degree.

A rectangle of height x plus 1 partitioned into adjacent rectangles of widths 2x and 5; the component area products are unresolved. Open full size
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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
Write and simplify a polynomial expression for geometric area or volume