Question

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

Explanation:

Step1: Identify the degrees of each term

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

Step2: Determine the highest degree

Among the degrees 2, 3, 5, and 0, the highest degree is 5.

Answer:

5