Answer:
the value of B is 3
Explanation:
We can start by factoring out the greatest common factor of the polynomial, which is 2x:
2x(6x3 + 15x2 + 2x + 5)
Now, we can factor the expression inside the parentheses by grouping:
2x[(6x3 + 2x) + (15x2 + 5)]
2x[2x(3x + 1) + 5(3x + 1)]
2x(2x + 5)(3x + 1)
Comparing this expression to the given expression:
Ax(Bx2+1)(2x+5)
We see that A = 2, B = 3, and the factor (2x + 5) is the same in both expressions. Therefore, the value of B is 3.