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Rehman's mother has given him money to buy some boxes from the market at the rate of $x 2 + 2 x − 3.$ The total amount of money given by his mother is represented by $4 x 4 + 2 x 3 − 2 x 2 + x − 1$ . Out of this money he donated some amount to a child who was studying in the light of street lamp. Find how many boxes did he buy from the market.

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4 x 2 − 6 x + 22

4 x 2 + 6 x − 22

2 x 2 − 16 x + 66

22 x 2 + 44 x − 66

answer is A.

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Detailed Solution

Given polynomial

4 x 4 + 2 x 3 − 2 x 2 + x − 1

is representing the total amount of money.
Rate of boxes is represented by

x 2 + 2 x − 3.

Some amount of money has been donated to children.
We need to find that how many boxes did he buy from the market.
Dividing

4 x 4 + 2 x 3 − 2 x 2 + x − 1

x 2 + 2 x − 3

to find the amount that was donated to the children.
We have,
Question Image

Money donated to the children are

= 65 − 61 x

.
Quotient is

4 x 2 − 6 x + 22

. Hence, the number of boxes he bought from the market is

4 x 2 − 6 x + 22

.
Therefore, option 1 is correct.

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