Introduction to Polynomials

degree of polynomial

• an expression involving a sum of powers in one or more variables multipled by coefficients, where the powers must be whole numbers

• the highest exponents on my variable term powers

• terms consisting of the same variables raised to the same power

• a product of numbers, variables, or both; seperated by plus or minus signs in an alegbraic expression

• has a variable and non-variable terms seperated by addition and subtraction

2 term

• monomial

• binomial

• trinomial

• polynomial

_____ of polynomials - highest exponent or sum of exponents on any variable term.

Classify by degree of polynomial:
3x³ – 6x

• Constant

• Linear

• Quadratic

• Cubic

Add the following polynomials: (x³ + 6x - 5) + (-6x² + 4x + 3)

• x³ - 6x² +10x - 8

• x³ - 6x² +10x + 2

• x³ - 6x² +10x - 2

• x³ + 4x - 2

Classify by number of terms:
3x³ – 6x

• Monomial

• Binomial

• Trinomial

• Polynomial

Classify by degree of polynomial:
2x – 9

• Constant

• Linear

• Quadratic

• Cubic

Classify by number of terms:
3x² – 8x + 1

• Monomial

• Binomial

• Trinomial

• Term Polynomial

Classify by degree of polynomial:
3x² – 8x + 1

• Constant

• Linear

• Quadratic

• Cubic

Classify by degree and number of terms:

3x³ – 6x

• Quadratic Binomial

• Cubic Binomial

• Cubic Trinomial

• Quartic Binomial