Question

Find the t intercepts of f(t)=2(t-1)(t+2)(t-3)

Answer 1

The t-intercepts of the function f(t) = 2(t-1)(t+2)(t-3) are t = 1, t = -2, and t = 3.

Step-by-step explanation:

To find the t-intercepts of the function f(t) = 2(t-1)(t+2)(t-3), we need to set f(t) equal to zero and solve for t.

So, 2(t-1)(t+2)(t-3) = 0.

This equation has three factors, and if any of these factors are equal to zero, the whole equation will equal zero. Therefore, we set each factor equal to zero and solve for t.

t-1 = 0 => t = 1

t+2 = 0 => t = -2

t-3 = 0 => t = 3

So, the t-intercepts of the function f(t) = 2(t-1)(t+2)(t-3) are t = 1, t = -2, and t = 3.