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A day full of math games & activities. Find one near you.
What is the remainder when (x3 - 4x2 - 12x + 9) is divided by (x + 2)?
Solution:
Given, f(x) = x3 - 4x2 - 12x + 9
This problem can be solved by using the remainder theorem.
The above function divided by (x + 2) implies that (x + 2) is a factor of the function.
x + 2 = 0
⇒ x = -2
f(-2) = (-2)3 - 4(-2)2 -12(-2) + 9
By further calculation
f(-2) = (-8) - 4 (4) + 24 + 9
So we get
f(-2) = -8 - 16 + 24 + 9
f(-2) = 9
Therefore, the remainder is 9.
What is the remainder when (x3 - 4x2 - 12x + 9) is divided by (x + 2)?
Summary:
The remainder when (x3 - 4x2 - 12x + 9) is divided by (x + 2) is 9.
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