without actual division, prove that x²-4 is a factor of x⁴ -x³-6x²+4x+8
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Let x^2 -4 = 0
then x=2
Substitute the value of x in the equation
= 16-8-24+8+8 = 0
Hence, x^2-4 is a factor.
If you want a more detailed explanation then comment on my answer and I will edit this
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