**Unit 5.1 - Modelling polynomials**

**what we need to know**

**Variable**

Exponent

Positive and negative integers

Numerical coefficient

Constant (in an equation or an algebraic expression

Exponent

Positive and negative integers

Numerical coefficient

Constant (in an equation or an algebraic expression

**more information**

These are the important concepts we need to be aware of:

POLYNOMIAL: Is the addition of subtraction of different terms.

Remember to write the polynomial in

TERM: A term is made up of number and a variable. The variable is raised to a power. That is, the variable has an exponent.

- Remember that the if a term does not have a written number, it means that its number is 1

- Also, a term that has no variable, in reality, has a variable with an exponent of 0 (because anything to the power of 0 is 1!)

DEGREE: Of a term - Is the variable's exponent

- Of a polynomial: It is the highest exponent in the polynomial

NUMERICAL COEFFICIENTS: Are the numbers which multiply the variable in a term.

CONSTANT: It is the term in a polynomial that has no variable. It is called so because it does not change.

These are the important concepts we need to be aware of:

POLYNOMIAL: Is the addition of subtraction of different terms.

Remember to write the polynomial in

__descending order of exponents__.TERM: A term is made up of number and a variable. The variable is raised to a power. That is, the variable has an exponent.

- Remember that the if a term does not have a written number, it means that its number is 1

- Also, a term that has no variable, in reality, has a variable with an exponent of 0 (because anything to the power of 0 is 1!)

DEGREE: Of a term - Is the variable's exponent

- Of a polynomial: It is the highest exponent in the polynomial

NUMERICAL COEFFICIENTS: Are the numbers which multiply the variable in a term.

CONSTANT: It is the term in a polynomial that has no variable. It is called so because it does not change.

**IMPORTANT**

1.

2.

1.

*The terms in a polynomial must be written from the highest exponent to the lowest exponent (descending order).*2.

*If the degree (exponent) is the same between 2 terms, the terms are written in alphabetical order.*

how to model polynomials using algebra tiles

how to model polynomials using algebra tiles

**videos that can help you**

**interactive online activities**

**worksheetS**

namingpolynomials.pdf | |

File Size: | 20 kb |

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classifying-polynomials-_worksheet-with-answers.pdf | |

File Size: | 79 kb |

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9_unit_5.1_modelling_polynomials_worksheet_1.pdf | |

File Size: | 1211 kb |

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9_unit_5.1_modelling_polynomials_worksheet_2.pdf | |

File Size: | 821 kb |

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**Review - workbook**

workbook_-_unit_5.1.pdf | |

File Size: | 3994 kb |

File Type: |