WEBVTT
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Determine the coefficient and degree of negative seven π₯ cubed.
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For a term with one variable, in this case negative seven π₯ cubed, the degree is the variableβs exponent or power.
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Therefore, in this case, the degree of negative seven π₯ cubed is three.
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The coefficient of a term is the number that is multiplied by that term.
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In this case, the coefficient of negative seven π₯ cubed is negative seven, as this negative seven is multiplied by the π₯ cubed.
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Therefore, the degree is equal to three.
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And the coefficient is equal to negative seven.
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This process can be extended to look at not just individual terms, but also polynomials.
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In terms of polynomials, we need to initially look for the leading term.
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This is the term with the highest power or exponent.
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And its coefficient is called the leading coefficient.
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This can be demonstrated by looking at the example: four π₯ to the power of five plus seven π₯ squared minus nine π₯ plus four.
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The leading term in this polynomial is four π₯ to the power of five, as this is the term with the highest power or exponent.
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Looking at the term four π₯ to the power of five, we can see that its degree is five and its coefficient is four.
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Therefore, the degree of the polynomial four π₯ to the power five plus seven π₯ squared minus nine π₯ plus four is equal to five.
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And its leading coefficient is four.