Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - R.4 Factoring Polynomials - R.4 Exercises - Page 43: 8



Work Step by Step

The last term of the trinomial is positive. This means that one of the two binomial factor will have a negative constant term while the other will have a positive constant term. Thus, the only possible factors are the ones in Options C and D. When multiplied, the binomials in Option D gives: $(3x-4)(2x+3) \\=3x(2x) +3x(3) - 4(2x) -4(3) \\=6x^2+9x-8x-12 \\=6x^2+x-12$ Therefore, the correct factorization of the given trinomial is the one in Option D.
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