ACT Math · Polynomial and rational functions
What are the zeros of f(x) = (2x - 6)(x + 4)?
What are the zeros of ?
Answer and explanation
Answer: F: x = 3, -4
The zeros of a product are the values that make a factor zero. Setting gives , so . Setting gives . The zeros are and , choice F. Choice H () forgets to divide by in the first factor. Choice G () has the signs of both zeros reversed. Choice J () reverses only the sign of the second. Check: and . A factor gives a zero at , not .
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