Which of the following are roots of the polynomial function? (check all that apply) f(x)=x^3-7x^2+13x-6

the answers is b,d, and f

Step-by-step explanation:

B, D and F

Step-by-step explanation:

Roots are the x intercepts of a curve i.e the points where the curve crosses or touches the x axis. Since these are always on the x axis, the y coordinates of these points are always 0. So to find the answer here, you substitute each possible answer into the function and it if it gives you y=0 then you know that it is a root. (2,0) being the first example.

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)  

step-by-step explanation: