Question

The polynomial p(x) has factors that include x, x+1 , and x-1. Match each factor to the point on the graph of p(x) that it corresponds with.

1. x
2. x+1
3. x-1
Answer choices:
A. (0,1)
B. (0,0)
C. (-1,0)
D. (0,-1)
E. (1,0)

Answer 1

1. x => (0, 0) (Option B)

2. x+1 => (-1, 0) (Option C)

3. x-1 => (1, 0) (Option E)

Explanation:

If some expression is the factor of any polynomial p(x), then this means p(x) = 0. This means that the y-coordinate for each factor is 0. This rules out the options A and D. Considering x, x+1, and x-1 as the factors of p(x), set all three expressions equal to zero. Therefore, x = 0, x + 1 = 0, and x - 1 = 0. Therefore, x = 0, x = -1 , and x = 1. This means that the factor x matches Option B, factor x + 1 matches Option C, and factor x - 1 matches Option E!!!