the volume of a box is represented by the roduct (x^2+5x+6) times (x+4). Give the polynomial that represents the length of the box.

Question

Lily Hess

Mathematics

30 October, 20:56

the volume of a box is represented by the roduct (x^2+5x+6) times (x+4). Give the polynomial that represents the length of the box.

+1

Answers (2)

Know the Answer?

Hamza Deleon · Answer 1

gtrdgfrtg32546

Step-by-step explanation:

trfegf

Everett Merritt · Answer 2

(x+3)

Step-by-step explanation:

Volume = Base area * height

Base area = x²+5x+6

= x²+2x+3x+6

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

= (x+2) (x+3)

Since the length is the longer side, length = (x+3)

Dimensions of the box are:

(x+2) * (x+3) * (x+4)