Question

check whether -2 and 2 are the zeroes of the polynomial x power 4 - 16

Answer 1

X power 4 = 16.. X power 4 = plus or minus 2 power 4.. X = plus or minus 2.. X=+2 or x=-2. Placing x=2 on x power 4 = 16. Placing x=-2 on x power 4 = 16. Therefore both are zeros of given polynomial.

Answer 2

[tex] X^{4} =16 [/tex] ------------------1
⇒$X^{4}= ( +,- 2) ^{4}$
⇒X=-2 or X=+2
⇒put the value of X in eq 1
⇒when X=-2 then 16=16
⇒when X=+2 then 16=16