Question

11/55 what the remainder after $x^3 - 2x^2 - 5x + 6$ is divided by $x + 2$

Explanation:

Step1: Identify root of divisor

Set $x+2=0$, so $x=-2$.

Step2: Apply Remainder Theorem

Substitute $x=-2$ into $x^3 - 2x^2 -5x +6$:
$$(-2)^3 - 2(-2)^2 -5(-2) +6$$

Step3: Calculate each term

$$-8 - 2(4) +10 +6$$
$$-8 -8 +10 +6$$

Step4: Compute final value

$$-16 +16 = 0$$

Answer:

0