Question

Find the dimension of cube whose volume is given by expression 4x^2+14x+6

Answer 1

Answer:

First of all the in question you give the expression of degree 2 which can show the area of any shape.To represent the volume of cube you have to need third degree expression.So your question is wrong.

Now

We given that

Volume of cube is given by

4x² + 14x + 6

We know that

4x² + 14x + 6 = 4x² + 12x + 2x + 6

                     = 4x(x + 3) + 2(x + 3)

                     = (x + 3)(4x + 2)

It gives us two different factors which show that

Length of cube = width of cube which is impossible because cube have equal length from each side.

Answer 2

now we given that volume of cube is given by 4x²+14x+6 we know that 4x²+14x+6=4x²+12x+2x+6

=4x(x+3) +2(x+3)

= (x+3) (4x+2)