Open Middle®
Directions: Using the integers -9 to 9, at most two times each, fill in the boxes to create a polynomial function with matching roots.
Hint
How do each of the values you can choose affect the values of the roots?
Answer
There are multiple answers including:
y = 1x^3 + -4x^2 + 3x + 0
roots: x = 0, x = 1, and x = 4
y = -1x^3 + -3x^2 + 4x + 0
roots: x = -4, x = 0, and x = 1
Source: Robert Kaplinsky
