Question

6x² + 7x³ + 8x⁵ + 9
what is the degree of the polynomial?
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Explanation:

Step1: Recall the definition of the degree of a polynomial

The degree of a polynomial is the highest power (exponent) of the variable in the polynomial.

Step2: Identify the exponents of each term

• For the term \(6x^2\), the exponent is \(2\).
• For the term \(7x^3\), the exponent is \(3\).
• For the term \(8x^5\), the exponent is \(5\).
• For the term \(9\) (which can be written as \(9x^0\)), the exponent is \(0\).

Step3: Determine the highest exponent

Among the exponents \(2\), \(3\), \(5\), and \(0\), the highest one is \(5\).

Answer:

5