Math Problem Statement

Express the polynomial -x^3 + x^4 + x in standard form.

Solution

The standard form of a polynomial arranges the terms in descending order of their exponents. The polynomial given is:

x3+x4+x-x^3 + x^4 + x

Rearranging it in standard form:

x4x3+xx^4 - x^3 + x

This is the polynomial in standard form.

Would you like further details or have any questions?

Here are 5 related questions:

  1. How do you find the degree of a polynomial?
  2. What is the leading coefficient of a polynomial?
  3. Can you explain how to factor a polynomial like this one?
  4. How do you find the roots of a polynomial equation?
  5. What is the difference between monomials, binomials, and polynomials?

Tip: The degree of a polynomial is determined by the highest exponent in its terms.

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Math Problem Analysis

Mathematical Concepts

Algebra
Polynomials

Formulas

Standard form of a polynomial

Theorems

Polynomial degree and leading term

Suitable Grade Level

Grades 8-10