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Algebra 1

6.1.1 Understanding Polynomials

Algebra 16.1.1 Understanding Polynomials

6.1.1 Understanding Polynomials

6.1.1 • Understanding Polynomials

Warm Up

A monomial is an algebraic expression with exactly one term: 5x25x2

A binomial is an algebraic expression with exactly two terms: 5x2+6y35x2+6y3

A trinomial is an algebraic expression with exactly three terms: 5x2+6y3−7c5x2+6y3−7c

Monomials, binomials, and trinomials are all different types of polynomials. A polynomial is a monomial or two or more monomials combined by addition or subtraction.

The degree of a polynomial is the highest degree of all its terms.

Examine the following expressions and use them to answer questions 1 – 6.

1.

Which of the polynomials listed above are monomials?

2.

Which of the polynomials listed above are binomials?

3.

Which of the polynomials listed above are trinomials?

4.

Which of the polynomials listed above have a degree of 0?

5.

Which of the polynomials listed above have a degree of 1?

6.

Which of the polynomials listed above have a degree of 2?

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