Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 5 - Section 5.1 - Adding and Subtracting Polynomials - Exercise Set - Page 351: 112

Answer

Does not make sense.

Work Step by Step

No. When adding like monomials you factor out the variable part that makes the like monomials -like. In this way, the coefficients are added, the exponent is preserved. If you change the exponents, the sum will not be a like monomial. Example: $3x^{2}+2x^{2} $is not $5x^{4}$. (Adding squares of x results in squares of x, not other powers.) $3x^{2}+2x^{2}=$ factor out $x^{2}$ = $(3+2)x^{2}=5x^{2}$
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