Question

Find all the zeros of polynomial x 4 + x cube - 34 x square - 4 x + 120 if two of its zeros are 2 and -2

Answer 1

Answer:

Step-by-step explanation:                                    

eq  

n

=x  

4

+x  

3

−34x  

2

−4x+120

x  

3

(x+2)−x  

2

(x+2)−32x(x+2)+60(x+2)

(x  

3

−x  

2

−32x+60)(x+2)

{x  

2

(x−2)+x(x−2)−30(x−2)}(x+2)

(x  

2

+x−30)(x−2)(x+2)

(x+6)(x−5)(x−2)(x+2)=0

so x=−6,5,2,−2