Factoring Trinomials and Special Binomials In the form ax 2 +bxy+cy 2 and ax 2 – cy 2.

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Presentation transcript:

Factoring Trinomials and Special Binomials In the form ax 2 +bxy+cy 2 and ax 2 – cy 2

First term in first spot Which will ADD to give -18 (1)(72) (2)(36) (3)(24) (4)(18) (6)(12) Yes This sign tells what to do with the factors This sign tells the sign of The larger factor Last term in next spot Now multiply across Time to factor each column down. Start with third column. (1)(8) (2)(4) Multiply across each row to check your products and up each column also. Then write your answer!!

Which will ADD to give +14 (1)(48) (2)(24) (3)(16) (4)(12) (6)(8) YES

Which will ADD to give +12 (1)(36) (2)(18) (3)(12) (4)(9) (6)(6) YES

Tic-tac-toe can be used with binomials only if the terms are perfect squares and the sign between them is minus!! They have to be perfect squares so that the middle term will cancel. These problems are called the difference of two squares.

This is the First term! This is the Last term! The middle term Disappeared, or Became ZERO!! What factors of -81 will Add up to be ZERO ?

REMEMBER This is the First term! AND This is the Last term! The middle term Disappeared, or Became ZERO!! What factors of -25 will Add up to be ZERO ?

This is the First term! This is the Last term! The middle term Disappeared, or Became ZERO!! The sign Is MINUS So follow the Same steps. What factors of -36 will Add up to be ZERO ?

Check each piece of the problem!! If they are ALL perfect squares, then follow the same steps!! You just have to factor Top and bottom for each fraction!! To see if any number is a Perfect square, find its Square root!! If you get a Whole number for an answer then it is a prefect square.

Check each piece of the problem!! If they are ALL perfect squares, then follow the same steps!! You just have to factor Top and bottom for each fraction!!

There is a short-cut for The Difference of Two Squares. Answer these questions for each problem. * First term a perfect square? * Last term a perfect square? * Minus between them? If they all answer yes, then just write your answers!! Watch…