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

Question

kari74 [83]

2 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] · Answer 1 · 2022-06-25T02:09:50+03:00

tester [92]2 years ago

4 0

The volume of the rectangular prism:
$V=length\cdot width\cdot height=lwh$

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