WEBVTT

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Here is the problem: (2x plus 4)(3x minus 5).

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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 6, constant term negative 20.

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So the answer is 6x squared plus 2x minus 20.

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In standard form the polynomial is 6x squared plus 2x minus 20 (degree 2, leading coefficient 6, constant term negative 20).

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Spot check at x equals 2: original and expanded form both give 8.