Question

Graph the function f(x) = x3 – 3x – 2. Based on the graph, which value for x is a double root of this function?

Answer 1

Answer:

The value of x = - 1 and 2 double root of this function

Step-by-step explanation:

we need to find the value of x which double root of $f(x)=x^{3} -3x-2$

If we replace x with -2 then

$f(-2)=(-2)^{3} -3(-2)-2 = -8+6-2 =-4$

If we replace x with -1 then

$f(-1)=(-1)^{3} -3(-1)-2 = -1+3-2 =0$

If we replace x with 1 then

$f(1)=(1)^{3} -3(1)-2 = 1-3-2 =-4$

If we replace x with 2 then

$f(2)=(2)^{3} -3(2)-2 = 8-6-2 =0$

Hence, the value of x = - 1 and 2 double root of this function