The graph of a quadratic equation is shown here, and the intercepts with the axes are marked. Explain how you can use the graph to write the polynomial as a product of linear factors C(x - x1)(x - x2). Be sure to state the values of x1 and x2.
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MrRoyal 6 months ago
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The graph is a quadratic function, and the equation of the function is C(x) = (x + 4)(x - 3)

How to determine the equation of the graph?

From the graph the x-intercepts are:

x = -4 and x = 3

Rewrite as:

x + 4 = 0 and x - 3 = 0

Evaluate the product of both equations

(x + 4) * (x - 3) = 0* 0

This gives

(x + 4)(x - 3) = 0

Express as a function

C(x) = (x + 4)(x - 3)

Hence, the equation of the function is C(x) = (x + 4)(x - 3)

Read more about quadratic functions at:

https://brainacademy.pro/question/7784687

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