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Start Chapter QuizPolynomials Mind Map
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Geometrical meaning of zero of a polynomial
highA zero of a polynomial is the value of x for which the polynomial becomes 0. On the graph, it is the x-coordinate where the curve touches or cuts the x-axis.
When you see a graph, count the points where it meets the x-axis. Those x-values are the zeros.
Sign pattern and graph interpretation
mediumThe sign pattern of a polynomial tells whether the graph lies above or below the x-axis in different intervals. The x-intercepts show the zeros, and the shape of the graph helps interpret the number of real zeros.
Read the graph from left to right and note where it is above, on, or below the x-axis.
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