Math Problem Statement

Complete the table below to name each polynomial and state the degree.

Solution

From the uploaded image, the content appears to involve completing a table for classifying polynomials based on their name and degree. I'll interpret the visible portions and help fill in the table:

Given Details

  1. 7p³:

    • Name: Monomial (single term)
    • Degree: 3 (the highest power of the variable pp)
  2. x⁴ - x + 5:

    • Name: Polynomial with three terms (Trinomial)
    • Degree: 4 (the highest power of xx)
  3. 7 - 9x²:

    • Name: Polynomial with two terms (Binomial)
    • Degree: 2 (the highest power of xx)
  4. The last row shows "Binomial" (name) and "4" (degree). You can use the polynomial x47x⁴ - 7 as an example.

  5. Monomial with degree 6 can be written as 3x63x^6 or similar.

If you'd like, I can generate a clear, detailed explanation or a table summarizing this for reference! Would you like to proceed?


Questions to Deepen Understanding

  1. What is the definition of a polynomial?
  2. How do you determine the degree of a polynomial?
  3. What distinguishes monomials, binomials, and trinomials?
  4. Can polynomials have negative exponents or fractions as exponents?
  5. How do you add or multiply two polynomials?

Tip

Always look at the highest power of the variable to determine the degree of the polynomial.

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Math Problem Analysis

Mathematical Concepts

Polynomials
Degree of Polynomials
Monomials
Binomials
Trinomials

Formulas

Degree of a polynomial is determined by the highest power of the variable.

Theorems

A monomial has one term, a binomial has two terms, and a trinomial has three terms.

Suitable Grade Level

Grades 7-9