The required, divide is given by 
<h3>What is fraction of polynomial?</h3>
Fraction of polynomial is, in the numerator and in the denominator of a fraction there is polynomial function
Thus the required, divide is .
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1) The equation that can be used to describe this situation is; a + 2a + 1 + 5a = d
2) The equation that can be used to describe this situation is; a = 2b + 800
<h3>How to solve Algebra Word Problems?</h3>
Length of original piece = d
length of first piece = a
The second piece is twice as long as the first piece. Thus;
Length of second piece = 2a
The third piece is one inch more than five times the length of the first piece. Thus;
Length of third piece = 1 + 5a
Thus, equation for total length is;
a + 2a + 1 + 5a = d
2) State A produced 800 million pounds of apples more than twice the amount of apples in State B.
If a represents the amount of apples grown in State A and b represents the amount of apples grown in State B, then we have;
a = 2b + 800
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So, your first step would be 175x7 which would equal to 1225. Then, you would want to add 1225+1550 to get your total, 2775 seats.
Answer - 2775 Seats in all/total
let's multiply both sides by the LCD of all fractions, in this case is 4, just to do away with the denominators for a few seconds
![\bf f(x) = \cfrac{1}{4}x^2+\cfrac{1}{2}x-\cfrac{35}{4}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{4}}{4[f(x)]=4\left( \cfrac{1}{4}x^2+\cfrac{1}{2}x-\cfrac{35}{4} \right)} \\\\\\ 4f(x) = x^2+2x-35\implies 4f(x) = (x+7)(x-5) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill f(x) = \cfrac{1}{4}(x+7)(x-5)~\hfill](https://tex.z-dn.net/?f=%5Cbf%20f%28x%29%20%3D%20%5Ccfrac%7B1%7D%7B4%7Dx%5E2%2B%5Ccfrac%7B1%7D%7B2%7Dx-%5Ccfrac%7B35%7D%7B4%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bmultiplying%20both%20sides%20by%20%7D%5Cstackrel%7BLCD%7D%7B4%7D%7D%7B4%5Bf%28x%29%5D%3D4%5Cleft%28%20%5Ccfrac%7B1%7D%7B4%7Dx%5E2%2B%5Ccfrac%7B1%7D%7B2%7Dx-%5Ccfrac%7B35%7D%7B4%7D%20%5Cright%29%7D%20%5C%5C%5C%5C%5C%5C%204f%28x%29%20%3D%20x%5E2%2B2x-35%5Cimplies%204f%28x%29%20%3D%20%28x%2B7%29%28x-5%29%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20~%5Chfill%20f%28x%29%20%3D%20%5Ccfrac%7B1%7D%7B4%7D%28x%2B7%29%28x-5%29~%5Chfill)
