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storchak [24]
3 years ago
14

What is the remainder when a^3 - 4 is divided by a+2? a)0 b)-6 c)-2 d)-12

Mathematics
1 answer:
antoniya [11.8K]3 years ago
6 0

Answer:

<em>The remainder is -12. Choice d)</em>

Step-by-step explanation:

<u>The Remainder Theorem</u>

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

P(a)= a^3 - 4

To evaluate the remainder when P is divided by a+2, we only have to find P(-2):

P(-2)= (-2)^3 - 4

P(-2)= -8 - 4=-12

The remainder is -12. Choice d)

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