Question

A NGO decided to distribute books and pencils to the students of a school running by some other NGO.

Answer 1

Mark as brainliest..........

Answer 2

"To determine:  The amount that was distributed by NGO for each student of the school

Given Data:

The total fund collected by NGO from different people $p(x)\quad =\quad 4x^{ 4 }+2x^{ 3 }-8x^{ 2 }+3x-7$

Number of students, $g(x)\quad =\quad x-2+2x^{ 2 }$

The amount left with the NGO after distribution is done $r(x)\quad =\quad 5x-11$

Formulas to be used:

Division Algorithm: $p(x)\quad =\quad g(x)\quad \times \quad q(x)\quad +\quad r(x)$

Calculation:

Step 1: Substituting the values of p(x), g(x), and r(x) in the division algorithm, we get

$4x^{ 4 }+2x^{ 3 }-8x^{ 2 }+3x-7\quad =\quad \left( x-2+2x^{ 2 } \right) \quad \times \quad q(x)\quad +\quad 5x\quad -\quad 11$

$q(x)\quad =\quad \frac { (4x^{ 4 }+2x^{ 3 }-8x^{ 2 }+3x-7)-(5x-11) }{ 2x^{ 2 }+x-2 } q(x)\quad =\quad \frac { 4x^{ 4 }+2x^{ 3 }-8x^{ 2 }-2x+4 }{ 2x^{ 2 }+x-2 }$

Step 2: Using long division method, find q(x)

$\begin{matrix} 2x^{ 2 }-2 \\ 2x^{ 2 }+x-2\overline { )4x^{ 4 }+2x^{ 3 }-8x^{ 2 }-2x+4 }  \\ 4x^{ 4 }+2x^{ 3 }-4x^{ 2 } \end{matrix}\\ \qquad \qquad \overline { \qquad \qquad -4x^{ 2 }-2x+4 } \\ \qquad \qquad \qquad \qquad -4x^{ 2 }-2x+4\\ \overline { \qquad \qquad \qquad \qquad \qquad \qquad \qquad 0 }$

Thus, $q(x)\quad =\quad 2x^{ 2 }-2$

Amount received by each student $=\quad 2x^{ 2 }-2$"