# Polynomials

**Polynomial:**

A finite sum /difference of terms of the form
where a= a real number and n= a whole

number . Ex: (Note: Descending order of
powers !!!)

** Monomial :** A polynomial with one term Ex:

** Binomial : **A polynomial with 2 terms Ex:

** Trinomial :** A polynomial with 3 terms Ex:

**Coefficient: **The number in front of a variable in a term. Ex:
, The coefficient is 6.

** Degree of a Term :** Sum of the exponents of the variables in a term.

Degree = 5 | Degree = 3 | −12x Degree = 1 |

Degree = 2 | 27 (This is a constant term) | Degree = 0 |

** Degree of a Polynomial :** Equals the degree of the
term with the highest power

Degree = ______

Degree = _____

Degree = _____

**Naming a Term:** Name a term using its variable(s) and power(s).

5x is called an "x" term. | 12t is called a "t" term |

7xy is called an "xy" term. | 65 is called a "constant" or " numerical term " |

is called an "x squared term ". |

** Like Terms : **Terms that have the **same name.
**

6x and -5x are like terms

and are like terms

and 7x are NOT LIKE TERMS!!!! ( Unlike Terms )

**Adding and Subtracting Polynomials**

(1) Remove parentheses ( Distributive Property )

(2) Combine Like Terms (Add or Subtract the coefficients of the like terms)

Add: | Add: (4a − 6) + (−7a − 9) + (a − 3) |

Add: | Add: |

Subtract: | Subtract: |

Subtract (5x −12) from | |

Simplify : |

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