WEBVTT

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Here is the problem: (negative 4x plus 1)(4x plus 1).

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Expand and simplify the polynomial into standard form.

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Distribute every product and power. Multiply each term of one factor by each term of the other; expand powers by repeated multiplication.

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Combine like terms and order by degree.

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Read off the key features. degree 2, leading coefficient negative 16, constant term 1.

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So the answer is negative 16x squared plus 1.

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In standard form the polynomial is negative 16x squared plus 1 (degree 2, leading coefficient negative 16, constant term 1).

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Spot check at x equals 2: original and expanded form both give negative 63.