Question

which of the following shows the polynomial order 4x^2-x+8x^6+3+2x^10

Answer 1

To determine the polynomial order, we need to identify the term with the highest degree in the polynomial. The degrees of the terms in the polynomial \(8x^6 + 4x^2 - x + 3 + 2x^{10}\) are as follows:

- \(8x^6\) has a degree of 6.
- \(4x^2\) has a degree of 2.
- \(-x\) (which is the same as \(-1x^1\)) has a degree of 1.
- \(3\) is a constant term and has a degree of 0.
- \(2x^{10}\) has a degree of 10.

The term with the highest degree is \(2x^{10}\), which has an order of 10.

Therefore, the order of the polynomial \(4x^2 - x + 8x^6 + 3 + 2x^{10}\) is **10**.