The expression x^4-16 is equivallent to the product (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

your answer would be 10x - 1

00

step-by-step explanation: