Question

The volume of cuboid is polynomial p(x)=8x^3+12x^2-2x-3 find possible expressions for dimensions of the cuboid .verify the result by taking x=5 units

Answer 1

hey dear friend!!!

here is your answer
___________

volume is the factorized as =>

= 8x³+12x²-2x-3

= 8x³-2x+12x²-3

= 2x(4x²-1)+3(4x²-1)

= (4x²-1)(2x+3)

= (2x+1)(2x-1)(2x+3)

Now

hence the possible dimension are =>

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

if "x=5"

hence the dimension are =>

11 , 9 , 13

therefore

11×9×13 = 1287 unit cube ____answer

also

=> 8(5)³+12(5)²-2(5)-3

=> (8×125)+(12×25)-10-3

=> 1000+300-13

=> 1287 unit cube _____answer


I think my answer is capable to clear your confusion..

Answer 2

Answer:

Step-by-step explanation:

hey dear friend!!

volume is the factorized as =>

= 8x³+12x²-2x-3

= 8x³-2x+12x²-3

= 2x(4x²-1)+3(4x²-1)

= (4x²-1)(2x+3)

= (2x+1)(2x-1)(2x+3)

Now

hence the possible dimension are =>

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

if "x=5"

hence the dimension are 11 , 9 , 13

11×9×13 = 1287 unit cube

=> 8(5)³+12(5)²-2(5)-3

=> (8×125)+(12×25)-10-3

=> 1000+300-13

=> 1287 unit cube __answer

I think my answer is capable to clear your confusion..