Tyrone factored the polynomial completely. what is the value of b?
12x4 + 30x3 + 4x2 + 10x
ax(bx2 + 1) (2x + 5)
b =

Comparing both sides of the equation:

12x⁴ + 30x³ + 4x² + 10x = Ax(Bx² + 1)(2x + 5)

The first term on the left hand side of the equation = 12x⁴

The first term on the right hand side of the equation = (Ax)*(Bx²)*(2x)

                                                                           = 2ABx⁴

Therefore  12x⁴ = 2ABx⁴

12 = 2AB  (a)

Comparing the last terms:

The last term on the left hand side of the equation = 10x

The last term on the right hand side of the equation = Ax*(1)*(5)

                                                                           = 5Ax

5Ax = 10x      Comparing and cancelling out x  from both sides.

5A = 10

A = 10/5

A = 2

From (a)

12 = 2AB                Recall A = 2.

12 = 2*2*B

12 = 4B

12 / 4 = B

3 = B

Therefore B = 3.

I hope this helps.