Find if the second polynomial is a factor of the first polynomial.
$ 8 x^{4}+10 x^{3}-5 x^{2}-4 x+1,2 x^{2}+x-1 $


Let us divide and see if the remainder is zero or not

 2x2 + x -1)8x4+10x3- 5x2-4x+1(4x2+3x-2

                     8x4 + 4x3 -4x2

                      --------------------

                      6x3 - x2 -4x

                      6x3 + 3x2 -3x

                     --------------------

                      -4x2 - x + 1 

                      -4x2 -2x +2

                    -----------------

                                   x -1 Remainder

Since the remainder is NOT a zero, the second polynomial is NOT a factor of first polynomial.

        

Tutorialspoint
Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

33 Views

Kickstart Your Career

Get certified by completing the course

Get Started
Advertisements