Question

Rewrite the following polynomial in standard form. 5+2x^5-x^37-8x-10x2

Answer 1

To rewrite the polynomial in standard form, arrange the terms from the highest to lowest powers of x. The rewritten polynomial is -x^37 + 2x^5 - 10x^2 - 8x + 5.

Step-by-step explanation:

To rewrite the polynomial 5 + 2x5 - x37 - 8x - 10x2 in standard form, we need to arrange the terms in order of decreasing powers of x.

The standard form starts with the term with the highest exponent and ends with the constant term (if one exists).

The given polynomial rewritten in standard form is -x37 + 2x5 - 10x2 - 8x + 5.

Here's the step-by-step process:

1. Identify the term with the highest exponent: -x37.
2. Next, find the term with the next highest exponent: 2x5.
3. Continue with the term with the next highest exponent: -10x2.
4. Then, place the linear term: -8x.
5. Finally, add the constant term: 5.

Thus, the polynomial in standard form is -x37 + 2x5 - 10x2 - 8x + 5.