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Factoring Trinomials and Special Binomials

Factoring Trinomials and Special Binomials. In the form ax 2 +bxy+cy 2 and ax 2 – cy 2. Which will ADD to give -18 (1)(72) (2)(36) (3)(24) (4)(18) (6)(12) Yes. NO. GCF?. This sign tells the sign of The larger factor. This sign tells what to do with the factors.

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Factoring Trinomials and Special Binomials

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  1. Factoring Trinomials and Special Binomials In the form ax2+bxy+cy2 and ax2 – cy2

  2. Which will ADD to give -18 (1)(72) (2)(36) (3)(24) (4)(18) (6)(12) Yes NO GCF? This sign tells the sign of The larger factor This sign tells what to do with the factors (1)(8) (2)(4) Same steps!! First term in first spot Last term in next spot Now multiply across Time to factor each column down. Start with third column. Multiply across each row to check your products and up each column also. Then write your answer!!

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

  4. Try it again! Which will ADD to give +12 (1)(36) (2)(18) (3)(12) (4)(9) (6)(6) YES

  5. 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.

  6. What about this? What factors of -81 will Add up to be ZERO ? This is the First term! This is the Last term! The middle term Disappeared, or Became ZERO!! So use the same steps!

  7. You try it! REMEMBER This is the First term! AND This is the Last term! What factors of -25 will Add up to be ZERO ? The middle term Disappeared, or Became ZERO!! So use the same steps!

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

  9. You try it!

  10. What about this one? 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.

  11. You try it! 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!!

  12. 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…

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