Math, asked by gayathrisathyan3584, 11 months ago

Total number of pencils required are given by 4x^4+2x^3-2x^2+62x-66. if each box contains x^2+2x-3 pencils, then find the number of boxes to be purchased and find how much amount of money he must have so that he is able to buy exact and maximum number of boxes from the market

Answers

Answered by knjroopa

Step-by-step explanation:

Given Total number of pencils required are given by 4x^4+2x^3-2x^2+62x-66. if each box contains x^2+2x-3 pencils, then find the number of boxes to be purchased and find how much amount of money he must have so that he is able to buy exact and maximum number of boxes from the market

Let b be the number of boxes they need to purchase.
So total number of pencils = 4x^4 + 2x^3 – 2x^2 + 62x – 66
Now pencils inside a box will be x^2 + 2x – 3
Therefore total number of boxes = total number of pencils / pencils inside a box
So b = 4x^4 + 2x^3 -2x^2 + 62x – 66
So pencils inside the box will be x^2 + 2x -3
Therefore total number of boxes = b = 4x^4 + 2x^3 -2x^2 + 62x – 66 / x^2 + 2x -3
4x^2 – 6x + 22
So x^2 + 2x – 3 ) 4x^4 + 2x^3 – 2x^2 + 62 x – 66
4x^4 + 8x^3 – 12x^2
-------------------------------------------------------------------------
-6x^3 + 10x^2 + 62 x
-6x^3 – 12x^2 + 18 x
-----------------------------------------------------------------
22x^2 + 44x – 66
22x^2 + 44x – 66
----------------------------------------------------------
0
Therefore the number of boxes they need to purchase will be 4x^2 – 6x + 22
In order to find the amount we need to have a specific number to calculate

Reference link will be

https://brainly.in/question/3022639

Answered by KailashHarjo

Number of boxes -

Let a be the number of boxes to be purchased
Total number of pencils required = 4x^4 + 2x³+2x²++62x-66
Number of pencils in each box - x²+2x-3
Number of boxes to be purchased = 4x^4 + 2x³+2x²++62x-66/x²+2x-3
Obtained quadratic equation - 4x² - 6x + 22
Therefore, the number of boxes to be purchased = 4x² - 6x + 22

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