Question

across

1. classify by ______ when you find greatest exponent sum.
2. polynomial with one term
3. when combining like terms, you are ______ a polynomial expression.

down

1. a ______ is the product of numbers and/or variables.
2. polynomial with three terms
3. to find the degree, you add the ______.
4. to combine like terms, the variables and exponents must be exactly the ______.

Explanation:

ACROSS

2.

To classify polynomials by their degree, we find the greatest sum of exponents. The term related to this classification is "degree". The length of the blank (from the crossword grid) and the context (classifying by the greatest exponent sum) point to "degree".

Step1: Analyze the clue context

The clue is about classifying polynomials by the greatest exponent sum, which is the degree of a polynomial.

Step2: Determine the word

The word that fits here, considering the crossword structure (length and context), is "degree".

A polynomial with one term is called a "monomial". The clue says "Polynomial with one term", and the standard term for this is "monomial".

Step1: Recall polynomial terminology

A polynomial with one term is a monomial, two terms is a binomial, three terms is a trinomial.

Step2: Match with the clue

The clue is for a polynomial with one term, so the word is "monomial".

When combining like terms, we are "simplifying" a polynomial expression. The process of combining like terms (adding or subtracting terms with the same variables and exponents) is called simplifying the polynomial.

Step1: Understand combining like terms

Combining like terms reduces the polynomial to a simpler form, so the action is simplifying.

Step2: Confirm the word

The word "simplifying" fits the context of the clue and the crossword structure (length of the blank).

Answer:

degree

4.