Answer:
The remainder is -12. Choice d)
Step-by-step explanation:
The Remainder Theorem
The polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by (x-r) is equal to f(r).
We have the polynomial
[tex]P(a)= a^3 - 4[/tex]
To evaluate the remainder when P is divided by a+2, we only have to find P(-2):
[tex]P(-2)= (-2)^3 - 4[/tex]
[tex]P(-2)= -8 - 4=-12[/tex]
The remainder is -12. Choice d)
