Question

1. (a) Show that the polynomial x⁴+ 4x³ + 6x² - 8 is divisible by x+2​

Answer 1

Explanation:

if x= -2

and P(x)=x^4+4x^3+6x^2-8

then P(-2)=(-2)^4+4*(-2)^3+6*(-2)^2-8=16-32+24-8=0

so P(x)=(x+2)* Q(x) and P(x) is divisible by x+2