On the Independence Day celebration in the school a number of stúdents participated in the celebration, School management has decided to distribute some sweets amongst the participants and the audience. If the total no. of sweets were represented by 8x4 + 14x3 - 2x2 + 7x - 8, each one received 2x² + 2x -1 sweets and 14x - 10 remained undistributed, find the no. of students to whom sweets were distributed.
Answers
Answer :-
Let number of students are y .
we know that,
Dividend = Quotient * Divisor + Remainder.
so,
→ 8x⁴ + 14x³ - 2x² + 7x - 8 = (2x² + 2x - 1) * y + (14x - 10)
→ 8x⁴ + 14x³ - 2x² + 7x - 14x - 8 + 10 = (2x² + 2x - 1) * y
→ 8x⁴ + 14x³ - 2x² - 7x + 2 = (2x² + 2x - 1) * y
→ y = 8x⁴ + 14x³ - 2x² - 7x + 2 / (2x² + 2x - 1)
dividing by long divison method ,
2x² + 2x - 1 ) 8x⁴ + 14x³ - 2x² - 7x + 2 (4x² + 3x - 2
8x⁴ + 8x³ - 4x²
6x³ + 2x² - 7x
6x³ + 6x² - 3x
-4x² - 4x + 2
-4x² - 4x + 2
0.
therefore,
→ Number of students are = (4x² + 3x - 2) (Ans.)
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