Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.4 - Multiplying Polynomials - Exercise Set: 59

Answer

$9x^4+12x^3-2x^2-4x+1$

Work Step by Step

Using $(a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc$ or the square of a multinomial, the product of the given expression, $ (3x^2+2x-1)^2 $, is \begin{array}{l} (3x^2)^2+(2x)^2+(-1)^2+2(3x^2)(2x)+2(3x^2)(-1)+2(2x)(-1) \\\\= 9x^4+4x^2+1+12x^3-6x^2-4x \\\\= 9x^4+12x^3+(4x^2-6x^2)-4x+1 \\\\= 9x^4+12x^3-2x^2-4x+1 .\end{array}
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