Chapter 8 - Polynomials and Factoring - 8-5 Factoring X(squared) + bx + c - Practice and Problem-Solving Exercises - Page 503: 10

$(k+2)(k+3)$

$k^2+5k+6=(k+2)(k+\underset\uparrow?)$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ $added to 2, must equal 5 $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ $multiplied by 2, must equal 6 Let x be ?. $x+2=5$ $x+2-2=5-2$ $x=3$ $2x=6$ $2x\div2=6\div2$ $x=3$