The expression x^4-16 is equivalent to the product of (x+2) and p (x) which expression could represent p (x)

Easy

differnce of 2 perfect squares

a²-b² = (a+b) (a-b)

in this case

x⁴ = (x²) ²

16=4²

(x²) ²-4² = (x²+4) (x²-4)

x²-4 can be factored since 4=2²

x²-2² = (x+2) (x-2)

complete factored form is

(x²+4) (x+2) (x-2)

gegroup to seperate (x+2)

(x+2) [ (x²+4) (x-2) ]

(x+2) p (x)

p (x) = (x²+4) (x-2)

expanded

p (x) = x³-2x²+4x-8