Warm-up Given the functions, perform the following operations:

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Presentation transcript:

Warm-up Given the functions, perform the following operations: f(x) + g(x) 2g(x) – 3f(x) (5x) ● f(x)

Homework questions

Greatest common factor

Factors of a number The factors of a whole number are the whole numbers that divide evenly into that number. The factors of 4 are: The factors of 12 are: The factors of 5 are:

Greatest common factor The Greatest Common Factor or GCF for a group of whole numbers is the greatest whole number that will divide evenly into every number in the group of numbers. Examples: Find the GCF for each group of numbers. 1. 12 and 30 2. 12 and 24 3. 3 and 7

Greatest common factor 4. 6, 12, 20 5. 5, 10, 30 6. 2, 10, 11 7. 8 and 20 8. 6 and 15 9. 6 and 12 10. 3, 9, 18 11. 5, 8, 12 12. 8, 12, 28

Greatest common factor - variables If a list of variable terms has a common variable then the GCF is the common variable to the lowest power that the common variable has in the group of terms. Examples: Find the GCF for each group of terms. 1. x2 and x6 2. y3 and y4 3. x4 and y4

Greatest common factor - variables 4. x4, x2, x5 5. y3, y4, y 6. x3y3, xy2, y5 7. x2, x3, x4 8. y, y2, y3 9. x4, x3y, xy

GCF of a polynomial To find the GCF for a polynomial, find the GCF for all of the coefficients and then find the GCF for the variables in each term. Examples: Find the GCF for each polynomial. 1. 2.

GCF of a polynomial 3. 4. 5. 6.

Classwork/homework