Which function has only one x-intercept at (−6, 0)? f(x) = x(x − 6) f(x) = (x − 6)(x − 6) f(x) = (x 6)(x − 6) f(x) = (x 6)(x 6)

We have the function: f ( x ) = ( x + 6 ) ( x + 6 ) = ( x + 6 )^2. This is the square of the binomial. It has only one zero ( only one x- intercept ). When f ( x ) = 0, ( x + 6 )^2 = 0. x + 6 = 0; x = - 6. Therefore point ( - 6 , 0 ) is the only x - intercept. D ) f ( x ) = ( x + 6 ) ( x + 6 ).

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