The volume of a cuboidal garden is (x^3+6x^2+11x+6) cubic meters. Find it's possible dimensions
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Step-by-step explanation:
The volume of cuboid = x³+6x²+11x+6
p(x) = x³+6x²+11x+6
p(-1) = (-1)³+6(-1)²+11(-1)+6; =-1+6-11+6; =-12+12;=0
(x+1) is one of the dimensions.
Now divide the volume by (x+1) as one of the dimension.
=x³+6x²+11x+6/(x+1) we get,
=x²+5x+6
=x²+3x+2x+6
=x(x+3)+2(x+3)
=(x+2)(x+3)
Therefore the dimensions of cuboidal garden are(x+1),(x+2) and (x+3).
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