Question

The volume of the rectangular prism below is 30x^3+35^2+10x factor to find the possible expressions for length width and height of the prism
A : 3x(2x+1)(5x+2)
B: x(10x+1)(3x+2)
C: 5x(2x+1)(3x+2)
D: 2x(5x+1)(3x+2)

Answer 1

The correct answer is Choice C.

Here are the steps to factor the expression:

30x^3 + 35x^2 + 10x

5x(6x^2 + 7x + 2)

5x(6x^2 + 3x + 4x + 2)

5x(3x(2x + 1) + 2(2x + 1))

5x(3x + 2)(2x + 1)