Video: Determining the Degree of a Polynomial Expression

What is the degree of the polynomial 𝑥⁴ + 6𝑥³ − 2𝑥² + 𝑥 − 2.

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Video Transcript

What is the degree of the polynomial 𝑥 to the power of four plus six 𝑥 cubed minus two 𝑥 squared plus 𝑥 minus two?

The degree of a polynomial is the highest exponent or power of 𝑥. This is also sometimes known as the exponent of the lead term. In this example, the lead term is 𝑥 to the power of four.

Therefore, the degree of the polynomial 𝑥 to the power of four plus six 𝑥 cubed minus two 𝑥 squared plus 𝑥 minus two is equal to four.

Any polynomial which has a highest power or exponent of four will have a degree of four.

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