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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)…

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)…
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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)

asked
User Betti
by
8.9k points

1 Answer

4 votes
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)
answered
User Harleen Kaur Arora
by
7.3k points
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