The points plotted below are on the graph of a polynomial. How many roots of the polynomial lie between x = -4 and x = 3?
URGENT

Given:

The graph of a polynomial.

To find:

The number of roots of the polynomial lie between x = -4 and x = 3.

Solution:

From the given graph it is clear that the graph is a downward U-shaped curve. It means the given graph represents a quadratic polynomial.

The graph of the polynomial is below the x-axis immediate before x=-2 and above the x-axis immediate after x=-2. It means the graph intersect the x-axis at x=-2.

The graph of the polynomial is above the x-axis immediate before x=2 and below the x-axis immediate after x=2. It means the graph intersect the x-axis at x=2.

Since the graph of the polynomial divides the x-axis two times between x = -4 and x = 3, therefore the two roots of the polynomial lie between x = -4 and x = 3.

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step-by-step explanation:

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