作业帮A box has dimensions that are linear factors of (x^3 -7x^2+14x-8) cubic centimetres.what dimensions give a volume of 12 cm^3 x³ - 7x² + 14x - 8 = (x - 4)(x - 2)(x - 1)这一步..能给我的具体过程么?
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A box has dimensions that are linear factors of (x^3 -7x^2+14x-8) cubic centimetres.what dimensions give a volume of 12 cm^3 x³ - 7x² + 14x - 8 = (x - 4)(x - 2)(x - 1)这一步..能给我的具体过程么?
A box has dimensions that are linear factors of (x^3 -7x^2+14x-8) cubic centimetres.what dimensions give a volume of 12 cm^3
x³ - 7x² + 14x - 8 = (x - 4)(x - 2)(x - 1)
这一步..能给我的具体过程么?
A box has dimensions that are linear factors of (x^3 -7x^2+14x-8) cubic centimetres.what dimensions give a volume of 12 cm^3 x³ - 7x² + 14x - 8 = (x - 4)(x - 2)(x - 1)这一步..能给我的具体过程么?
A box has dimensions that are linear factors of (x³ - 7x² + 14x - 8) cubic centimetres. what dimensions give a volume of 12 cm³ ?
Solution:
x³ - 7x² + 14x - 8 = (x - 4)(x - 2)(x - 1)
let (x - 4)(x - 2)(x - 1) = 12
so x³ - 7x² + 14x - 20 = 0
x = 5,
So, the dimesssions are
x - 4 = 1 (cm),
x - 2 = 3 (cm) and
x - 1 = 4 (cm)
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