Question

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

Answer 1

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Answer 2

Answer:

$4x^2-6x+22$

Step-by-step explanation:

Let x be the number of boxes to be purchased,

Since, the total number of pencils  =   $4x^4+2x^3-2x^2+62x-66$

And, the pencils contained by a box = $x^2+2x-3$

Thus,

$\text{Total number of boxes}=\frac{\text{Total number of pencils}}{\text{Pencils contained by a box}}$

$\implies x = \frac{4x^4+2x^3-2x^2+62x-66}{x^2+2x-3}$

$\implies x = 4x^2-6x+22$

Hence, the number of boxes = $4x^2-6x+22$