Question

the value of a cuboid is polynomial p(x)=8x^3+12x^2-2x-3,find the possible expression for the dimensions of the cuboid.verify by taking x=5units​

Answer 1

Answer:

1287 unit cube

Step-by-step explanation:

Volume can be factorized as :

= 8x^3$8x^{3} + 12x^{2} - 2x -3\\2x(4x^{2} - 1) + 3(4x^{2} - 1)\\(2x +3)(2x+1)(2x-1)$

HENCE THE POSSIBLE DIMENSIONS ARE

$(2x+3), (2x+1), (2x-1)$

IF X = 5

HENCE THE DIMENSIONS WILL BE = 13, 11, 9

THUS, 13*11*9= 1287 UNIT CUBE