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kari74 [83]
3 years ago
15

The volume of the rectangular prism is 60x^3 + 145x^2 + 70x. Factor to find the possible expressions for length, width and heigh

t of the prism.
Mathematics
1 answer:
tester [92]3 years ago
4 0
The volume of the rectangular prism:
V=length\cdot width\cdot height=lwh

60x^3 + 145x^2 + 70x=5x(12x^2+29x+14)\\\\=5x(12x^2+21x+8x+14)=5x[3x(4x+7)+2(4x+7)]\\\\=5x(4x+7)(3x+2)\\\\Answer:\\length=5x\\width=4x+7\\height=3x+2
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