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?](/uploads/image/z/10418277-21-7.jpg?t=A+box+has+dimensions+that+are+linear+factors+of+%28x%5E3+-7x%5E2%2B14x-8%29+cubic+centimetres.what+dimensions+give+a+volume+of+12+cm%5E3+x%26sup3%3B+-+7x%26sup2%3B+%2B+14x+-+8+%3D+%28x+-+4%29%28x+-+2%29%28x+-+1%29%E8%BF%99%E4%B8%80%E6%AD%A5..%E8%83%BD%E7%BB%99%E6%88%91%E7%9A%84%E5%85%B7%E4%BD%93%E8%BF%87%E7%A8%8B%E4%B9%88%3F)
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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