Question

find all the zeroes of polynomial x^4+x^3-34x^2 -4x + 120 if two of its zeroes are 2 and -2

Answer 1

p(X)=x^4+x^3-34x^2 -4x + 120

p(X) =0

X = 2 and -2

if X = 2

x^4+x^3-34x^2 -4x + 120 =0

(2)^4+(2)^3-34(2)^2-4(2)+120 =0

16+8+136-8+120=0
144-144=0
0=0

if X = -2

x^4+x^3-34x^2 -4x + 120 = 0

(-2)^4+(-2)^3-34(-2)^2-4(-2)+120=0

16-8-136+8+120=0

0= 0

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