Question

divide the polynomial p (x)=x4-5x+6 g (x)=2-x2

Answer 1

Answer:

please refer to the attachment

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Answer 2

Concept:

We need to have a knowledge of division of 2 polynomial equations.

Given:

We are given polynomial 2 polynomial $p(x)=x^{4}-5x+6\ and\ x=2-x^{2}$

To find:

We need to divide p(x) by x.

Solution:

We need to p(x)÷x.

That is $\frac{x^{4}-5x+6}{2-x^{2} }$

Mathematically we can solve this as,

$-x^{2}+2\ )\ x^{4}-5x+6\ ( -x^{2}-2$

               $x^{4}-2x^{2}$

              _________               (subtracting)

               $2x^{2} +5x-6$  

               $2x^{2} -4$

              _________               (subtracting)

               $5x-2$

Therefore,

Quotient=$-x^{2} -2$

Reminder=$5x-2$