Varun1870
1) for x=-1 2(−1)^4+(−1)^3−14(−1)^2−(19)(−1)−6 =0 x+1 is the factor of expression 2x^4+x^3-14x^2-19x-6/x+1 =2x^3-x^2-13x-6
(x+1) (2x^3-x^2-13x-6) Now we have to also factorise 2x^3-x^2-13x-6 For x=-2 2(−2)^3−(−2)^2−(13)(−2)−6 =0 x+2 is the factor of 2x^3-x^2-13x-6 2x^3-x^2-13x-6/x+2 2x^2-5x-3
(x+2) (2x^2-5x-3) So over all answer is: (x+1) (x+2) (2x^2-5x-3) (x+1) (x+2) (2x+1)(x−3)
Answers & Comments
2(−1)^4+(−1)^3−14(−1)^2−(19)(−1)−6
=0
x+1 is the factor of expression
2x^4+x^3-14x^2-19x-6/x+1
=2x^3-x^2-13x-6
(x+1) (2x^3-x^2-13x-6)
Now we have to also factorise 2x^3-x^2-13x-6
For x=-2
2(−2)^3−(−2)^2−(13)(−2)−6
=0
x+2 is the factor of 2x^3-x^2-13x-6
2x^3-x^2-13x-6/x+2
2x^2-5x-3
(x+2) (2x^2-5x-3)
So over all answer is:
(x+1) (x+2) (2x^2-5x-3)
(x+1) (x+2) (2x+1)(x−3)