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Find the quadratic equation with integral coefficients having roots 6 and 2.

Sagot :

The quadratic equation that has a root of 6 and 2 is x^2 - 8x + 12 = 0

How to determine the quadratic equation?

The roots are given as:

x = 6 and x = 2

Rewrite as:

x - 6 = 0 and x - 2 = 0

Multiply both equations

(x - 6)(x - 2) = 0 * 0

Evaluate the product

x^2 - 6x - 2x + 12 = 0

Evaluate the difference

x^2 - 8x + 12 = 0

Hence, the equation that has a root of 6 and 2 is x^2 - 8x + 12 = 0

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