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nydus/The First Steps in AlgebraPublic

This textbook introduces the fundamental concepts of algebra, including definitions of units, quantities, and number symbols. It explains the use of letters to represent numbers and outlines the signs for basic mathematical operations.

Page 86 of 227

Table of Contents

Case VII.

Two numbers whose product is $- 18$ , and the larger number negative, are $- 18$ and $1$ , $- 9$ and $2$ , $- 6$ and $3$ , and the sum of the last two numbers is $- 3$ . Hence, $x^{2} - 3 x - 18 = (x - 6) (x + 3) .$

Exercise 38.

Resolve into factors:

$a^{2} + 5 a + 6$ .

$a^{2} - 5 a + 6$ .

$a^{2} + 6 a + 5$ .

$a^{2} - 6 a + 5$ .

$a^{2} + 4 a - 5$ .

$a^{2} - 4 a - 5$ .

$c^{2} - 9 c + 18$ .

$c^{2} + 9 c + 18$ .

$c^{2} + 3 c - 18$ .

$c^{2} - 3 c - 18$ .

$x^{2} + 9 x + 14$ .

$x^{2} - 9 x + 14$ .

$x^{2} - 5 x - 14$ .

$x^{2} - 9 x + 20$ .

$x^{2} - x - 20$ .

$x^{2} + x - 20$ .

$x^{2} - 10 x + 21$ .

$x^{2} - 4 x - 21$ .

$x^{2} + 4 x - 21$ .

$x^{2} - 15 x + 56$ .

$x^{2} - x - 56$ .

$x^{2} - 10 x + 9$ .

$x^{2} + 13 x + 30$ .

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