The illustration below is a graph of the polynomial function P(x). The graph crosses the x-axis 2 times and touches the x-axis o
nce at the point (4, 0).
Part A: Use the key features of the graph to explain that the degree of the polynomial cannot be odd.
Part B: How many unique zeros does this polynomial have?
1 answer:
The polynomial graph crosses the x-axis at two points and touches x-axis at one point. It indicates the graph has four roots:




The last two roots have equal value as the graph touches the x-axis (not crosses it)
The graph has three unique roots
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