GeoGebra Classroom

# Review 8.1 - 8.4

## Warm up for 8.1 and 8.2 (Review of previous concepts)

Distributive property: You multiply what is outside the parenthesis to everything that is inside the parenthesis. Example: Special case: Distributing a negative means negating everything inside the parenthesis.

## Simplify:

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## Simplify:

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## New concept 8.1: Find the degree of a monomial.

Degree of a monomial: The degree of a monomial the sum of the exponents of its variables. Example: The degree of is 5+8+2 = 12.

## Find the degree:

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## New concept 8.1: Find the degree of a polynomial.

The degree of a polynomial is the degree of the highest degree term. The degree of the polynomial is 3, because the highest power of the variable “x” is 3.

## Simplify and find the degree and number of terms:

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To add two polynomials, add all of the like terms. Example: To subtract two polynomials, first negate the terms in the second polynomial and then add like terms. Example:

## Simplify

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## New concept 8.2: Greatest Common Factor (GCF) of a polynomial.

To find the GCF of the terms of a polynomial, do prime factorization of each term and find the common factors. Example: The first term factors as The second term factors as In both terms you see So the GCF =

## Find GCF

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