Answer: f(x)/g(x) = 3x^2 + 6x - 2 - 12/3x+1
Step-by-step explanation:
The first function is f(x) = 9x^3+21x^2-14
The second function is g(x) = 3x+1
f(x)/g(x = 9x^3+21x^2-14/3x+1
We perform the long division as shown in the attachment to obtain the quotient as: Q(x) = 3x^2+6x - 2 and remainder R = -12
Therefore f(x)/g(x) = 3x^2 + 6x - 2 - 12/3x-1
Where x does not = -1/3
The power rule (or law of indices) related to root is given
![x^{ \frac{1}{2} }= \sqrt[2]{x}](https://tex.z-dn.net/?f=%20x%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%20%7D%3D%20%20%5Csqrt%5B2%5D%7Bx%7D%20%20)
We have
Rewrite according to the rule we have
The exponent on y is '1'
The first column has 10 cubes.
The question states that the other two columns each have 4 fewer cubes than the first column.
10 - 4 = 6
This means that each of the other 2 columns have 6 cubes each.
Column 1: 10 Cubic units
Column 2: 6 Cubic units
Column 3: 6 Cubic units
10 + 6 + 6 = 22
Anna’s Figure has 22 Cubic Units
