Question

2x^4 + x³ -11x² +x +2 =0
find for x ​

Answer 1

Answer:

Step-by-step explanation:

   $2x^4 + x^3 -11x^2 +x +2 =0$

=   $2x^4 - 4x^3 + 5x^3 - 10x^2 -x^2 +2x -x + 2$

=   $2x^3(x-2) + 5x^2(x-2) - x(x-2) - 1(x-2)$

=   $(x-2)(2x^3 - x^2 + 6x^2 - 3x + 2x - 1)$

=   $(x-2)(2x^3 + 5x^2 - x - 1)$

=   $(x-2)[x^2(2x-1) + 3x(2x-1) + 1(2x-1)]$

=    $(x-2)(2x-1)(x^2 + 3x + 1)$