+0  
 
0
29
1
avatar

The polynomial f(x) has degree 3 if f(-1)=15, f(0)=0, f(1)=5, f(2)=0, then what are the x-intercepts of the graph of f?

 Jul 8, 2022
 #1
avatar+193 
-1

From the fact that f(2) = 0 and f(0) = 0, we know that 0 and 2 are both roots/x-intercepts of this graph. Suppose that a is the other root, this gives us:

 

f(x) = (x - 0)(x - 2)(x - a) 

 

Plugging in 1 for x gives us

 

f(1) = -1(1 - a)

5 = -1 + a

a = 6

 

Therefore, the x intercepts, are, 0, 2, and 6. 

 Jul 9, 2022

9 Online Users

avatar
avatar