Math Problem Statement

Rewrite the following polynomial in standard form.

8, x, cubed, minus, x, squared, minus, 9, x, to the power 5 , plus, 10

8x3−x2−9x5+10

Solution

To rewrite the given polynomial in standard form, you need to arrange the terms in descending order of the powers of xx.

Given polynomial:
8x3x29x5+108x^3 - x^2 - 9x^5 + 10

Rewriting in standard form:
9x5+8x3x2+10-9x^5 + 8x^3 - x^2 + 10

The terms are now ordered by decreasing powers of xx.

Would you like more details or have any questions?

Here are 5 related questions:

  1. How do you find the degree of a polynomial?
  2. What are the leading coefficient and constant term of a polynomial?
  3. How do you factor a polynomial?
  4. What is the difference between monomials, binomials, and trinomials?
  5. How do you solve a polynomial equation?

Tip: When rewriting polynomials, always ensure that terms are ordered from the highest to the lowest exponent of the variable.

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Math Problem Analysis

Mathematical Concepts

Algebra
Polynomials
Standard Form of Polynomials

Formulas

Standard form of a polynomial: terms arranged in descending order of exponents

Theorems

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Suitable Grade Level

Grades 9-10