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Find zeros of the function Y=-2(x-2)(x-10)

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The zeros of a function are the values of x for which y = 0.

The zeros of a function written in the form y = a(x - x₁)(x - x₂) are the numbers x₁ and x₂. This happens because, if we replace x by one of those values, that will zero the value of y:

y(x₁) = a(x₁ - x₁)(x₁ - x₂) = a * 0 * (x₁ - x₂) = 0

y(x₂) = a(x₂ - x₁)(x₂ - x₂) = a * (x₂ - x₁) * 0 = 0

Then, the zeros of the function

Y=-2(x-2)(x-10)

are 2 and 10.

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