Chapter 8 - Polynomials and Factoring - 8-5 Factoring X(squared) + bx + c - Practice and Problem-Solving Exercises - Page 503: 12

$(t-4)(t-6)$

$t^2-10t+24=(t-4)(t-\underset\uparrow?)$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ $added to 4, must equal 10 $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ $multiplied by 4, must equal 24 Let y be ?. $y+4=10$ $y+4-4=10-4$ $y=6$ $4y=24$ $4y\div4=24\div4$ $y=6$