Question

x^4-16 divided by x^3+2x^2+4x+8

Answer 1

Answer:

Step-by-step explanation

x^3+2x^2+4x+8 = (x^2+2^2)(x+2) ----(1)

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

= [(x^2)^2] - [(2^2)^2] ----(2)

Above (2) is in the form of a^2-b^2 then (x^2+2^2)*(x^2-2^2)=(a+b)(a-b)

Now solve (2)/(1)

We get (x-2)