Sagot :
Answer:
5x + 2 inches
Step-by-step explanation:
[tex]\rm V = lwh[/tex]
Given:
- [tex]\rm V(x) = 5x^3 + 12x^2 - 71x - 30[/tex]
- [tex]\rm w = x + 5[/tex]
- [tex]\rm h = x-3[/tex]
[tex]\implies \rm 5x^3 + 12x^2 -71x - 30 = l(x+5)(x-3)[/tex]
[tex]\implies \rm l = \frac{5x^3 + 12x^2 - 71x - 30}{(x+5)(x-3)}[/tex]
[tex]\implies \rm l = \frac{(5x+2)(x+5)(x-3)}{(x+5)(x-3)}[/tex]
[tex]\implies \boxed{\rm l = 5x+2 \ inches}[/tex]
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