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Answer:
- top graph: y = x(x +3)(x -2)
- bottom graph: y = x⁴ -5x² +4
Step-by-step explanation:
Each x-intercept at x=a corresponds to a polynomial factor of (x -a).
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The top graph has x-intercepts of -3, 0, +2, so the factors of this cubic are ...
y = (x +3)(x -0)(x -2)
y = x(x +3)(x -2) . . . . . . . matches upper right tile
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The bottom graph has x-intercepts of -2, -1, 1, 2, so the factors of this quartic are ...
y = (x +2)(x +1)(x -1)(x -2) = (x² -4)(x² -1)
y = x⁴ -5x² +4 . . . . . . . matches lower left tile
