find the remainder when $(x^{3}-2)$ is divided by $(x - 1)$. what is the remainder?\n$-x^{2}-2$\n$x^{2}-2$\n$…

find the remainder when $(x^{3}-2)$ is divided by $(x - 1)$. what is the remainder?\n$-x^{2}-2$\n$x^{2}-2$\n$-2$\n$-1$\ndone

find the remainder when $(x^{3}-2)$ is divided by $(x - 1)$. what is the remainder?\n$-x^{2}-2$\n$x^{2}-2$\n$-2$\n$-1$\ndone

Answer

Answer:

D. -1

Explanation:

Step1: Apply Remainder Theorem

According to the Remainder Theorem, if a polynomial (f(x)) is divided by ((x - a)), the remainder is (f(a)). Here, (f(x)=x^{3}-2) and (a = 1).

Step2: Substitute (x = 1) into (f(x))

(f(1)=1^{3}-2).

Step3: Calculate the result

(1^{3}-2=1 - 2=-1). So the remainder is -1.