Answer:
B = 2, C = 2, and D = 7.
Explanation:
We are asked that if the polynomial can be factored as
[tex]10x^2+31x-14=(5x-B)(Cx+D)[/tex]then we have to find B, C, and D.
The polynomial can be factored as
[tex]10x^2+31x-14=(5x-2)(2x+7)[/tex]Hence, pattern matching gives
B = 2,
C = 2,
D = 7.