WEBVTT

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Here is the problem: (5x minus 5)(x minus 1).

2
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Expand and simplify the polynomial into standard form.

3
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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.

4
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Combine like terms and order by degree.

5
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Read off the key features. degree 2, leading coefficient 5, constant term 5.

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So the answer is 5x squared minus 10x plus 5.

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In standard form the polynomial is 5x squared minus 10x plus 5 (degree 2, leading coefficient 5, constant term 5).

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Spot check at x equals 2: original and expanded form both give 5.