Sorting Polynomials

• Monomial

• Binomial

• Trinomial

• Polynomial

Answer explanation

The given polynomial has four terms, so it is classified as a Polynomial.

Noah and Mia are working on a math problem. They need to classify the polynomial by degree and classification.

5x^3+2x^2-5x+9

• Cubic

• Linear

• Monomial

• Polynomial

Answer explanation

The polynomial 5x^3+2x^2-5x+9 is classified as cubic due to its highest degree term being x^3. It is also classified as a polynomial since it consists of multiple terms.

Liam and Mia are sorting their math homework. What are like terms?
Terms that have....

• the same variables

• the same exponents

• the same coefficients

• the same variables and exponents

Answer explanation

Like terms are terms that have the same variables and exponents, making them combinable in algebraic expressions.

Elijah is trying to classify the polynomial by degree:
2x – 9

• Constant

• Linear

• Cubic

• Quadratic

Answer explanation

The given polynomial 2x - 9 is a linear polynomial because it has a degree of 1, making it a straight line when graphed.

Reorder the following left to right from highest degree to lowest degree

Write the polynomial in standard form:

 9x² + 5x + 27 + 2x³

• 27 + 5x + 9x² + 2x³

• 9x² + 5x + 2x³ + 27

• 9x² + 5x + 27 + 2x³

• 2x³ + 9x² + 5x + 27

Write the polynomial in descending order.

Write the polynomial in descending order:

 9x² + 5x + 27 + 2x³

• 27 + 5x + 9x² + 2x³

• 9x² + 5x + 2x³ + 27

• 9x² + 5x + 27 + 2x³

• 2x³ + 9x² + 5x + 27

Write an expression in simplified form to represent the area of the rectangle.

Mathematical Equivalence

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Oliver is trying to determine the degree classification of this polynomial for his math homework.
x²+4x-8

• binomial

• trinomial

• quadratic

• cubic

Answer explanation

The degree classification of the polynomial x²+4x-8 is quadratic because it is a second-degree polynomial with the highest power of x being 2.