Problema Solution
The volume, in cubic inches, of the decorative box shown can be expressed as the product of the lengths of its sides as square roots x = x^3+x^2-6x. What linear expressions with integer coefficients represent the length and height of the box?
Answer provided by our tutors
The volume, in cubic inches, of the decorative box shown can be expressed as the product of the lengths of its sides as square roots x = x^3+x^2-6x. What linear expressions with integer coefficients represent the length and height of the box?
Solution:
V = x^3+x^2-6x = x(x^2+x-6) = x(x+3)(x-2)
So the length, width and height is
L = Ax
W = B(x-2)
H = C(x+3)
A,B,C is constant, A*B*C=1