f(x) = 8x2 – 2x + 3g(x) = 12x2 + 4x – 3What is h(x) = f(x) – g(x)?

Subtract g(x) from f(x), distributing the minus sign to every term: h(x) = (8x² − 2x + 3) − (12x² + 4x − 3). Combine like terms: (8 − 12)x² + (−2 − 4)x + (3 − (−3)) = −4x² − 6x + 6. Therefore, the correct choice is “h(x) = −4x² − 6x + 6.”

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