Obtain all zeros of the polynomial f(x)=2x⁴+x³-14x²-19x-6, if two zeros of it are -2and -1.

Obtain all zeros of the polynomial f(x)=2x⁴+x³-14x²-19x-6, if two

1.	Obtain all zeros of the polynomial f(x)=2x⁴+x³-14x²-19x-6, if two zeros of it are -2and -1.
Answer» Zeros are -2 and -1.Thus ( x-2)=0, (x -1)=0We get (x+2)and (x+1)Multiply both, we getX square + 3x + 2, now divide it with f(x) We get 2x square -5x - 3,now factorise it ,we get (x -3) (2x+1)(X-3)=0,(2x+1)=0, Solve it, we getX=3 and x= -1/2