Students of class XI of a school were motivated to apply for NCC. From each section equal number of students opted for NCC. If there are $2 x − 7$ sections of class XI and total number of students in all the sections is represented by $2 x 3 − x 2 − 17 x − 7$ , then find the number of students who opted for NCC from each section and how many did not opt for it?

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Quotient

= x 2 + 3 x + 2

and remainder

= 7

Quotient

= − x 2 − 3 x − 2

and remainder

= − 7

Quotient

= 2 x 2 + 5 x + 7

and remainder

= 10

Quotient

= − 3 x 2 + 5 x − 1

and remainder

= − 10

answer is A.

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Detailed Solution

Given that there are

2 x − 7

sections of class

X I

and the total number of students are

2 x 3 − x 2 − 17 x − 7.

We need to find the number of students who opted for NCC from each section and how many did not opt for it.
We will divide the polynomial representing the number of students by polynomial representing number of sections.
The quotient will represent the total number of students who opted for NCC and the remainder will the total number of students who did not opt for NCC.
We will use the long division method for performing the division.
We have,
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