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FACTORING – Binomial Factors

FACTORING – Binomial Factors.

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FACTORING – Binomial Factors

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  1. FACTORING – Binomial Factors Binomial factors of polynomials are similar to common terms. I call them “twins” since they look exactly the same. When you factor expressions that contain binomial factors, the binomial factor becomes one of your answers, whatever is outside of them becomes the other answer.

  2. FACTORING – Binomial Factors Binomial factors of polynomials are similar to common terms. I call them “twins” since they look exactly the same. When you factor expressions that contain binomial factors, the binomial factor becomes one of your answers, whatever is outside of them becomes the other answer. EXAMPLE # 1 : Factor completely

  3. FACTORING – Binomial Factors Binomial factors of polynomials are similar to common terms. I call them “twins” since they look exactly the same. When you factor expressions that contain binomial factors, the binomial factor becomes one of your answers, whatever is outside of them becomes the other answer. EXAMPLE # 1 : Factor completely ( x - 1 ) is the binomial factor…can you see why I call them “twins”?

  4. FACTORING – Binomial Factors Binomial factors of polynomials are similar to common terms. I call them “twins” since they look exactly the same. When you factor expressions that contain binomial factors, the binomial factor becomes one of your answers, whatever is outside of them becomes the other answer. EXAMPLE # 1 : Factor completely ANSWER ( x - 1 ) becomes one of your answers…

  5. FACTORING – Binomial Factors Binomial factors of polynomials are similar to common terms. I call them “twins” since they look exactly the same. When you factor expressions that contain binomial factors, the binomial factor becomes one of your answers, whatever is outside of them becomes the other answer. EXAMPLE # 1 : Factor completely ANSWER What is outside the ( x – 1 ) fills in the other binomial…

  6. FACTORING – Binomial Factors Binomial factors of polynomials are similar to common terms. I call them “twins” since they look exactly the same. When you factor expressions that contain binomial factors, the binomial factor becomes one of your answers, whatever is outside of them becomes the other answer. EXAMPLE # 2 : Factor completely

  7. FACTORING – Binomial Factors Binomial factors of polynomials are similar to common terms. I call them “twins” since they look exactly the same. When you factor expressions that contain binomial factors, the binomial factor becomes one of your answers, whatever is outside of them becomes the other answer. EXAMPLE # 2 : Factor completely What is your “twin” ? ______

  8. FACTORING – Binomial Factors Binomial factors of polynomials are similar to common terms. I call them “twins” since they look exactly the same. When you factor expressions that contain binomial factors, the binomial factor becomes one of your answers, whatever is outside of them becomes the other answer. EXAMPLE # 2 : Factor completely What is your “twin” ? ______

  9. FACTORING – Binomial Factors Binomial factors of polynomials are similar to common terms. I call them “twins” since they look exactly the same. When you factor expressions that contain binomial factors, the binomial factor becomes one of your answers, whatever is outside of them becomes the other answer. EXAMPLE # 2 : Factor completely What is your “twin” ? ______ ANSWER

  10. FACTORING – Binomial Factors Binomial factors of polynomials are similar to common terms. I call them “twins” since they look exactly the same. When you factor expressions that contain binomial factors, the binomial factor becomes one of your answers, whatever is outside of them becomes the other answer. EXAMPLE # 2 : Factor completely What is outside ( a + 8 ) ? ______ ANSWER

  11. FACTORING – Binomial Factors Binomial factors of polynomials are similar to common terms. I call them “twins” since they look exactly the same. When you factor expressions that contain binomial factors, the binomial factor becomes one of your answers, whatever is outside of them becomes the other answer. EXAMPLE # 2 : Factor completely What is outside ( a + 8 ) ? ______ ANSWER

  12. FACTORING – Binomial Factors Binomial factors of polynomials are similar to common terms. I call them “twins” since they look exactly the same. When you factor expressions that contain binomial factors, the binomial factor becomes one of your answers, whatever is outside of them becomes the other answer. EXAMPLE # 2 : Factor completely What is outside ( a + 8 ) ? ______ ANSWER

  13. FACTORING – Binomial Factors Binomial factors are used when you have four term expressions that need to be factored. You might have to rearrange the terms to force the binomial factors to appear.

  14. FACTORING – Binomial Factors Binomial factors are used when you have four term expressions that need to be factored. You might have to rearrange the terms to force the binomial factors to appear. EXAMPLE # 3 : Factor completely

  15. FACTORING – Binomial Factors Binomial factors are used when you have four term expressions that need to be factored. You might have to rearrange the terms to force the binomial factors to appear. EXAMPLE # 3 : Factor completely STEPS : 1. Cut the expression in half

  16. FACTORING – Binomial Factors Binomial factors are used when you have four term expressions that need to be factored. You might have to rearrange the terms to force the binomial factors to appear. EXAMPLE # 3 : Factor completely STEPS : 1. Cut the expression in half 2. Find common terms on each side and factor them out ( always use the sign in front of the third term )

  17. FACTORING – Binomial Factors Binomial factors are used when you have four term expressions that need to be factored. You might have to rearrange the terms to force the binomial factors to appear. EXAMPLE # 3 : Factor completely STEPS : 1. Cut the expression in half 2. Find common terms on each side and factor them out ( always use the sign in front of the third term ) 3. Divide

  18. FACTORING – Binomial Factors Binomial factors are used when you have four term expressions that need to be factored. You might have to rearrange the terms to force the binomial factors to appear. EXAMPLE # 3 : Factor completely STEPS : 1. Cut the expression in half 2. Find common terms on each side and factor them out ( always use the sign in front of the third term ) 3. Divide 4. What is your twin ?

  19. FACTORING – Binomial Factors Binomial factors are used when you have four term expressions that need to be factored. You might have to rearrange the terms to force the binomial factors to appear. EXAMPLE # 3 : Factor completely STEPS : 1. Cut the expression in half 2. Find common terms on each side and factor them out ( always use the sign in front of the third term ) 3. Divide 4. What is your twin ? 5. What is left outside ?

  20. FACTORING – Binomial Factors Binomial factors are used when you have four term expressions that need to be factored. You might have to rearrange the terms to force the binomial factors to appear. EXAMPLE # 4 : Factor completely

  21. FACTORING – Binomial Factors Binomial factors are used when you have four term expressions that need to be factored. You might have to rearrange the terms to force the binomial factors to appear. EXAMPLE # 4 : Factor completely You can see that if I cut this expression in half, the first two terms have nothing common

  22. FACTORING – Binomial Factors Binomial factors are used when you have four term expressions that need to be factored. You might have to rearrange the terms to force the binomial factors to appear. EXAMPLE # 4 : Factor completely So I am going to rearrange the terms to help get a common terms for both sides…

  23. FACTORING – Binomial Factors Binomial factors are used when you have four term expressions that need to be factored. You might have to rearrange the terms to force the binomial factors to appear. EXAMPLE # 4 : Factor completely Cut your expression in half…

  24. FACTORING – Binomial Factors Binomial factors are used when you have four term expressions that need to be factored. You might have to rearrange the terms to force the binomial factors to appear. EXAMPLE # 4 : Factor completely Find common terms on each side and factor them out ( always use the sign in front of the third term ) …

  25. FACTORING – Binomial Factors Binomial factors are used when you have four term expressions that need to be factored. You might have to rearrange the terms to force the binomial factors to appear. EXAMPLE # 4 : Factor completely Divide…

  26. FACTORING – Binomial Factors Binomial factors are used when you have four term expressions that need to be factored. You might have to rearrange the terms to force the binomial factors to appear. EXAMPLE # 4 : Factor completely Find your twins…

  27. FACTORING – Binomial Factors Binomial factors are used when you have four term expressions that need to be factored. You might have to rearrange the terms to force the binomial factors to appear. EXAMPLE # 4 : Factor completely What is outside…

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