Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 5 - Exponents and Polynomials - 5.3 - Multiplying Polynomials - Problem Set 5.3: 121

Answer

The answer is below.

Work Step by Step

For the large shape, to get the area, you would multiply (x+3) and (x+5). To figure out what this is, one can add all of the smaller areas together. This gives $x^2 +3x +5x +15 = x^2 +8x +15$. This verifies that (x+3)(x+5) is, indeed, $x^2 +8x +15$.
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