12.0 Polynomial Vocabulary. Term  Numbers or variables separated by _ or _ signs.  Examples:

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12.0 Polynomial Vocabulary

Term  Numbers or variables separated by _____ or _____ signs.  Examples:

Constant  A term that does not have a ______________.  Examples: variable 5, -19

Like Terms  Terms that have same ______________ with same. You can __________combine like terms.  Examples variables power or exponent only

Monomial  A mathematical expression that consists of just ________ term.  Examples: one

Binomial  A mathematical expression that consists of ________ different terms.  Examples: two

Trinomial  A mathematical expression that consists of ______ different terms.  Examples: three

Polynomial  A mathematical expression that consists of __________ different terms.  Examples: many

Degree of a Polynomial  Is given by the largest degree or ____________________________ of its terms.  Examples:  The degree is: exponent/power 9

Standard Form  Writing a polynomial so that the terms with the highest come first.  Examples:  Standard Form: exponent/power

Write each polynomial in standard form, then classify the polynomials by degree and by number of terms. a.6 b.-2x c.1 + 3x d.2x – x e.4x 3 – 8x f. 2x – 7x 3 – 5x 4 + 1

Answers! Standard FormDegreeClassified by terms (name) a.6 0monomial b.-2x 1monomial c.3x + 1 1binomial d.-x 2 + 2x – 5 2trinomial e.4x 3 – 8x 3binomial f.-5x 4 – 7x 3 + 2x + 1 4polynomial

Simplify each expression, and then name the polynomial by degree and number of terms. 1. 7x 2 + x – 2x 2 + 3x - 5 Standard Form: Degree: Name: 5x 2 + 4x trinomial

Simplify each expression, and then name the polynomial by degree and number of terms – 3(x – 2) + 2(4x + 5) – x Standard Form: Degree: Name: 4x binomial

Simplify each expression, and then name the polynomial by degree and number of terms. 3.3x 2 (4x + 8) Standard Form: Degree: Name: 12x x 2 3 binomial

Simplify each expression, and then name the polynomial by degree and number of terms. Your Turn! 4. –2(1 – 3x) – (6x – 1) 5. 3x(x + 1) + x(x 2 + 1) + x 4

Answers! 4. Standard Form:-1 Degree: 0 Name: monomial 5. Standard Form: x 4 + x 3 + 3x 2 + 4x Degree: 4 Name: polynomial