Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Prerequisites - P.3 - Polynomials and Special Products - Exercises - Page 33: 84


False. Normally it is true, but if the sum of the leading coefficients is equal to $0$, then the sum of the two second-degree polynomials is not a second-degree polynomial.

Work Step by Step

$(ax^2+bx^2+c)+(Ax^2+Bx+C)=(a+A)x^2+(b+B)x+(c+C)$ It is a second-degree polynomial unless $a+A=0$
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