This is a polynomial with more than 2 as a degree. Using Descartes Rule of Signs:
f(x) = x⁶ + x⁵ + x⁴ + 4x³ − 12x² + 12
Signs: + + + + − + 2 sign changes ----> 2 or 0 positive roots
f(−x) = (−x)⁶ + (−x)⁵ + (−x)⁴ + 4(−x)³ − 12(−x)² + 12 f(−x) = x⁶ − x⁵ + x⁴ − 4x³ − 12x² + 12
Signs: + − + − − + 4 sign changes ----> 4 or 2 or 0 negative roots
Complex roots = 0, 2, 4, or 6
The two positive consecutive integers we'll call x and x+2. then (x+2)² - x² =68
x²+4x+4-x²=68
4x=64
x=16
the integers are 16 and 18
I'd say increasing each side by 5 increases the volume by a factor of 125 because 5*5*5 = 125.
Example:
A 4*5*6 prism has a volume of 120
Increasing each side by a factor of five
(20*25*30) = 15,000
15,000 / 120 = 125
Wats the question im confused
