if ( t - 8 ) is a factor of t ^ 2 - kt - 45, then k =  Choices:
A) 16 B) 12 C) 2 D) 6 E) 14
<gadget id="calculator">10 + 2</gadget>
<output>12</output>

<result>B</result>
if ( t - 8 ) is a factor of t ^ 2 - kt - 45, then k =
add(const_10, 2)
t ^ 2 - kt - 48 = ( t - 8 ) ( t + m ) where m is any positive integer . if 48 / 8 = 6 , then we know as a matter of fact that : m = + 6 and thus k = 8 - 6 = 12 t ^ 2 - kt - m = ( t - a ) ( t + m ) where a > m t ^ 2 + kt - m = ( t - a ) ( t + m ) where a < m t ^ 2 - kt + m = ( t - a ) ( t - m ) t ^ 2 + kt + m = ( t + a ) ( t + m ) b