FIND THE QUADRATIC FUNCTION DETERMINED BY EACH TABLE
X -2 -1 0 1 2 3
Y 4 0 -2 -2 0 4

Applying the Factor Theorem, it is found that the quadratic function is:

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The Factor Theorem states that if a polynomial has roots , it is described by the following equation:

In which a is the leading coefficient.

When x = 0, p(x) = -2, and we use this to find a.

Thus, the quadratic function is:

A similar problem is given at link

x² - x - 2 = 0

Step-by-step explanation:

plotting the graph of x and y,we have that the root of the equation is -1 or 2

x = -1 or 2

the eqn therefore is;

x² - (sum of the root)x + (product of the root) =. 0

x² - (-1+2)x + (-1*2) = 0

x² - x - 2 = 0

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step-by-step explanation:

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