Subjects algebra

Multiplying Polynomials E7236E

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1. The problem asks which method is less messy when multiplying two polynomials each with 3 terms: length $x^2 + 2x + 5$ and width $5x^2 + 3x - 7$. 2. The two common methods to multiply polynomials are the horizontal method (distributive property written in a line) and the vertical method (like traditional multiplication arranged in columns). 3. The horizontal method involves multiplying each term in the first polynomial by each term in the second polynomial and writing all products in a row, which can get cluttered with many terms and signs. 4. The vertical method arranges the polynomials vertically, aligning like terms, which helps keep track of terms and signs more clearly. 5. Since each polynomial has 3 terms, the vertical method organizes the multiplication neatly, reducing confusion and making it less messy. 6. Therefore, the correct answer is: "When multiplying polynomials that have 3 terms, the vertical method is less messy because the terms are organized vertically."