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3 years ago

M

Mathematics

1 answer:

Misha Larkins [42]3 years ago

6 0

Answer:

The length of the box is (x + 1)

The height of the box is (x + 1)

Step-by-step explanation:

The given function representing the volume of the box is presented as follows;

V = x³ + 6·x² + 9·x + 4

The function representing the width of the box, W = x + 4

Therefore, we have;

(x³ + 6·x² + 9·x + 4)/(x + 4) = x² + 2·x + 1

x³ + 4·x²

${}$ 2·x² + 9·x + 4

${}$ 2·x² + 8·x

${}$ x + 4

Therefore, we have;

(x³ + 6·x² + 9·x + 4) = (x + 4) × (x² + 2·x + 1) = (x + 4) × (x + 1) × (x + 1)

(x³ + 6·x² + 9·x + 4) = (x + 4) × (x + 1) × (x + 1)

The width of the box = (x + 4)

The length of the box = (x + 1)

The height of the box = (x + 1).

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4 years ago

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bazaltina [42]

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