Question 1164615
<br>
The factorization is of the form<br>
(ax+b)(cx+d)<br>
We know<br>
(1) ac=3
(2) bd=-15<br>
We can assume a and c are positive, because having both negative will not lead to different factorizations.<br>
List all the possible factorizations that satisfy (1) and (2) and identify the ones that have k>0.<br>
(3x+1)(x-15) k = -44
(3x-1)(x+15) k = 44
(3x+3)(x-5)  k = -12
(3x-3)(x+5)  k = 12
(3x+5)(x-3)  k = -4
(3x-5)(x+3)  k = 4
(3x+15)(x-1) k = 12
(3x-15)(x+1) k = -12<br>
ANSWER: The possible positive values of k for which the trinomial can be factored are 4, 12, and 44<br>