Chapter 3 - Exponents, Polynomials and Functions - 3.5 Special Factoring Techniques - 3.5 Exercises - Page 279: 42

$(\sqrt x+3)(\sqrt x-1)$

Work Step by Step

The trinomial is not a perfect square, so we must use trial and error. To factor by trial and error, determine the two numbers that, when multiplied, equal the third term, and, when added, equal the coefficient of the middle term. $x+2\sqrt x-3$ $=(\sqrt x+3)(\sqrt x-1)$

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