Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Appendix A - Review - A.3 Polynomials - A.3 Assess Your Understanding - Page A30: 81



Work Step by Step

To factor trinomials in the form $x^{2}+bx+c$, we look for two factors of $c$, say $m$ and $n$, whose sum is equal to $b$. The factored form of the trinomial then would be $(x+m)(x+n)$. The given trinomial has $c=10$ and $b=11$. The two factors of $10$ whose sum is $11$ are $1$ and $10$. Thus, the factored form of the given trinomial is $\color{blue}{(x+1)(x+10)}$.
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