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Nuetrik [128]
3 years ago
8

The volume of a rectangular prism box can be represented by the function V(x) = 2x3 + 5x2 − 3x. If the height of the box is x cm

, which of the following can represent the length and width of the container?
Mathematics
1 answer:
Sholpan [36]3 years ago
7 0

The volume of a box is the amount of space in the box.

The expressions that can represent the length and the width are: \mathbf{(2x - 1)\ and\  (x + 3)}

The volume is given as:

\mathbf{V(x) =2x^3 + 5x^2 - 3x}

Divide through by height (i.e x), to get the base area

\mathbf{A(x) =2x^2 + 5x - 3}

Expand

\mathbf{A(x) =2x^2 + 6x - x - 3}

Factorize

\mathbf{A(x) =2x(x + 3) - 1(x + 3)}

Factor out x + 3

\mathbf{A(x) =(2x - 1) (x + 3)}

Hence, the expressions that can represent the length and the width are: \mathbf{(2x - 1)\ and\  (x + 3)}

Read more about volumes at:

brainly.com/question/13338592

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