One type of diagram you can draw to solve a problem is a Shape diagram
Box #1:
Dimensions are x, 3x, and x³.
Base area, A = x*(3x) = 3x².
Volume, V = (3x²)*(x³) = 3x⁵.
The volume is a 5-th order polynomial. It has only one term, which is the leading term.
Box #2:
Dimensions are x, (4x-1), and x³.
Base area, A = x*(4x-1) = 4x² - x.
Volume, V = (4x² - x)*(x³) = 4x⁵ - x⁴.
The volume is a 5-th order polynomial. It has two terms.
It could be written as
V(x) = 4x⁵ - x⁴ + 0x³ + 0x² + 0x¹ + 0x⁰.
Only terms involving x⁵ and x⁴ have non-zero coefficients.
Given:
Max's house has two steps on the front porch.
Size of each step is the same.
To find:
The total vertical distance covered by the two steps.
Solution:
From the given figure, it is clear that,
Base length of each step = 6 in
Hypotenuse = 10 in
Let h be the vertical height of each step.
Using Pythagoras theorem, the vertical height of one step is
Taking square root on both sides.
Height cannot be negative. So, h = 8 in.
Now,
Vertical height of 2 steps = 
= 
So, the total vertical distance covered by the two steps is 16 in.
Therefore, the correct option is A.
I’d need to know the question to answer this.
The answer is the second option.
To find the answer quickly, fist look at the signs associated with the terms. The is a negative sign with the B and C in the original equation, and the second option is the only one that follows that.
You use 6 as the C since that is a shared value when multiplying 2 and 3, so 1/2 becomes 2 and 1/3 becomes 3.
