Question

find whether (x+2) is a factor of x⁴- 16 or not
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Answer 1

Answer

x+2=0

x= -2

f(x)=(-2)^2 - 16

0 = 4-16

0 = -12

Since 0 is not equal to -12 , the (x+2) is not a factor

Answer 2

Answer:

Yes

Step-by-step explanation:

x^4 - 16 = (x^2)^2 - (4)^2

= (x^2 + 4)(x^2 - 4) (a^2 - b^2 = (a+b)(a-b) )

= (x^2 + 4)( (x)^2 - 2^2 )

= (x^2 + 4)(x + 2)(x - 2)

Hence, x+2 is a factor of x⁴- 16