1 / 38

Math 50

Math 50. 3.6 – Introduction to Factoring. Dividing Monomials. Since , we know that . In general, ________________ the exponents when dividing exponential factors with same base . So, for , . Dividing Monomials. Since , we know that .

tausiq
Download Presentation

Math 50

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Math 50 3.6 – Introduction to Factoring

  2. Dividing Monomials Since , we know that . In general, ________________ the exponents when dividing exponential factors with same base. So, for ,

  3. Dividing Monomials Since , we know that . In general, ________________ the exponents when dividing exponential factors with same base. So, for ,

  4. Dividing Monomials Since , we know that . In general, ________________ the exponents when dividing exponential factors with same base. So, for , subtract

  5. Dividing Monomials Since , we know that . In general, ________________ the exponents when dividing exponential factors with same base. So, for , subtract

  6. Dividing Monomials Since , we know that . In general, ________________ the exponents when dividing exponential factors with same base. So, for , subtract Ex 1.Divide:

  7. Dividing Monomials Since , we know that . In general, ________________ the exponents when dividing exponential factors with same base. So, for , subtract Ex 1.Divide:

  8. Notice that but also In general, for , (Note: is _____________________)

  9. Notice that but also In general, for , (Note: is _____________________)

  10. Notice that but also In general, for , (Note: is _____________________)

  11. Notice that but also In general, for , (Note: is _____________________)

  12. Notice that but also In general, for , (Note: is _____________________)

  13. Notice that but also In general, for , (Note: is _____________________) So,

  14. Notice that but also In general, for , (Note: is _____________________) So,

  15. Notice that but also In general, for , (Note: is _____________________) So, indeterminate

  16. Ex 2.Simplify (assume ): Ex 3.Simplify:

  17. Ex 2.Simplify (assume ): Ex 3.Simplify:

  18. Ex 2.Simplify (assume ): Ex 3.Simplify:

  19. Ex 2.Simplify (assume ): Ex 3.Simplify:

  20. Ex 2.Simplify (assume ): Ex 3.Simplify:

  21. Ex 2.Simplify (assume ): Ex 3.Simplify:

  22. Dividing Monomials To divide monomials with same variable:1. ___________ coefficients.2. _____________ exponents of variables (top exponent minus bottom exponent). Ex 4.Divide: Ex 5.Divide:

  23. Dividing Monomials To divide monomials with same variable:1. ___________ coefficients.2. _____________ exponents of variables (top exponent minus bottom exponent). Ex 4.Divide: Ex 5.Divide: Divide

  24. Dividing Monomials To divide monomials with same variable:1. ___________ coefficients.2. _____________ exponents of variables (top exponent minus bottom exponent). Ex 4.Divide: Ex 5.Divide: Divide Subtract

  25. Dividing Monomials To divide monomials with same variable:1. ___________ coefficients.2. _____________ exponents of variables (top exponent minus bottom exponent). Ex 4.Divide: Ex 5.Divide: Divide Subtract

  26. Dividing Monomials To divide monomials with same variable:1. ___________ coefficients.2. _____________ exponents of variables (top exponent minus bottom exponent). Ex 4.Divide: Ex 5.Divide: Divide Subtract

  27. Divide Polynomial by Monomial Since , we know that . If we wanted to divide by (without knowing the answer), we could divide each term by . It would look like this: In general, to divide a polynomial by a monomial, divide each term by the monomial.

  28. Divide Polynomial by Monomial Since , we know that . If we wanted to divide by (without knowing the answer), we could divide each term by . It would look like this: In general, to divide a polynomial by a monomial, divide each term by the monomial.

  29. Divide Polynomial by Monomial Since , we know that . If we wanted to divide by (without knowing the answer), we could divide each term by . It would look like this: In general, to divide a polynomial by a monomial, divide each term by the monomial.

  30. Divide Polynomial by Monomial Since , we know that . If we wanted to divide by (without knowing the answer), we could divide each term by . It would look like this: In general, to divide a polynomial by a monomial, divide each term by the monomial.

  31. Divide Polynomial by Monomial Ex 6.Divide: Ex 7.Divide:

  32. Find Unknown Factor Ex 8.Find the unknown factor: Ex 9.Find the unknown factor:

  33. When a number or expression is written as product of factors it is in __________________. ex: is factored form for

  34. When a number or expression is written as product of factors it is in __________________. ex: is factored form for factored form

  35. When a number or expression is written as product of factors it is in __________________. ex: is factored form for factored form

  36. How to factor monomial GCF out of a polynomial 1. Find GCF of terms of polynomial. 2. Rewrite polynomial like this: 3. Divide inside the parentheses.

  37. Ex 10.Factor: Ex 11.Factor:

  38. Summary: (ex: ) (ex: ) Divide monomials: 1. Divide coefficients, 2. Subtract exponents. (ex: ) Factor out GCF: 1. Find GCF, 2. , 3. Divide.

More Related