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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 5.8 (page 491)

$Find the sum: (14 y^{2} + 6 y - 4) + (3 y^{2} + 8 y + 5)$

Short Answer

Expert verified

The sum of the polynomials is $17 y^{2} + 14 y + 1$

Step by step solution

01

Step 1. Given information

$\begin{array}{l} Thegivenpolynomialexpressionis \\ (14 y^{2} + 6 y 鈭� 4) + (3 y^{2} + 8 y + 5) \\ Wehavetofindthesum. \end{array}$

02

Step 2. Identify the like terms and rewrite the expression

$\begin{array}{l} Wehave (14 y^{2} + 6 y 鈭� 4) + (3 y^{2} + 8 y + 5) \\ Rewritewithouttheparentheses,rearrangingtogettheliketermstogether \\ 鈬� (14 y^{2} + 6 y 鈭� 4) + (3 y^{2} + 8 y + 5) = \underset{炉}{14 y^{2}} + \underset{炉}{\underset{炉}{6 y}} 鈭� 4 + \underset{炉}{3 y^{2}} + \underset{炉}{\underset{炉}{8 y}} + 5 \\ = 14 y^{2} + 3 y^{2} + 6 y + 8 y 鈭� 4 + 5 \\ = (14 + 3) y^{2} + (6 + 8) y + 1 \\ = 17 y^{2} + 14 y + 1 \end{array}$

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