Question

divide the polynomial x 5 - 4 x cube + x square + 3 X + 1 by x cube minus 3 X + 1​

Answer 1

GIVEN :

Divide the polynomial $x^5-4x^3+ x^2+ 3x+1$ by $x^3-3x+1$

TO FIND :

The quotient of the given polynomials.

SOLUTION :

Given that divide the polynomial $x^5-4x^3+ x^2+ 3x+1$ by $x^3-3x+1$

By using Long Division Method we can solve this polynomials.

                             $x^2-1$

                  _______________________

$x^3-3x+1$ ) $x^5-4x^3+x^2+3x+1$

                    $x^5-3x^3+x^2$

                 _(-)_(+)__(-)___________

                         $-x^3+0x^2+3x+1$

                         $-x^3+3x-1$

                     __(+)__(-)__(+)______

                                          2

                        ________________

When we divide the polynomial $x^5-4x^3+ x^2+ 3x+1$ by $x^3-3x+1$ we get that the quotient is $x^2-1$ and remainder is 2

∴ the quotient is $x^2-1$ and remainder is 2.

Answer 2

Answer:

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