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9.3 & 9.4 Factoring Trinomials by Grouping p.

9.3 & 9.4 Factoring Trinomials by Grouping p. Review: (y + 2)(y + 4). First terms: Outer terms: Inner terms: Last terms: Combine like terms. In this lesson, we will begin with y 2 + 6y + 8 as our problem and finish with (y + 2)(y + 4) as our answer. Factor y 2 + 6y + 8.

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9.3 & 9.4 Factoring Trinomials by Grouping p.

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  1. 9.3 & 9.4Factoring Trinomials by Groupingp.

  2. Review: (y + 2)(y + 4) First terms: Outer terms: Inner terms: Last terms: Combine like terms. In this lesson, we will begin with y2 + 6y + 8 as our problem and finish with (y + 2)(y + 4) as our answer.

  3. Factor y2 + 6y + 8 Do we have a GCF? Is it a Diff. of Squares problem? Now we will learn Trinomials! You will set up a table with the following information. Product of the first and last coefficients Middlecoefficient The goal is to find two factors in the first column that add up to the middle term in the second column.

  4. M A Product of the first and last coefficients Middlecoefficient Multiply Add+8 +6 Factor y2+6y + 8Create your table. Here’s your task… What numbers multiply to +8 and add to +6? If you cannot figure it out right away, write the combinations.

  5. We have two groups! Find the GCF of each group and factor it out. You can check it by multiplying (FOIL).

  6. M A Product of the first and last coefficients Middlecoefficient Factor x2 – 2x – 63 Do we have a GCF? NO! … so, Create your table. Multiply Add Signs need to be different since number is negative.

  7. Replace the middle term with working numbers. Group the terms. Factor out the GCF The parentheses are the same!

  8. Here are some hints to help you choose your factors in the table. 1) When the last term is positive, the factors will have the same sign as the middle term. 2) When the last term is negative, the factors will have different signs.

  9. M A Factor 5x2 - 17x + 14Do we have a GCF? NO! … so, create your table. Multiply Add Replace the middle term. Group the terms.

  10. Factor out the GCF The parentheses are the same! Hopefully, these will continue to get easier the more you do them.

  11. Factor 2x2 - 14x + 12 Multiply Add Signs need to be the same as the middle sign since the product is positive. Find the GCF! Replace the middle term. Group the terms.

  12. Factor out the GCF The parentheses are the same! Remember: Always look for a GCF first!!

  13. Factor x2 + 3x + 2 • (x + 2)(x + 1) • (x – 2)(x + 1) • (x + 2)(x – 1) • (x – 2)(x – 1)

  14. Factor 2x2 + 9x + 10 • (2x + 10)(x + 1) • (2x + 5)(x + 2) • (2x + 2)(x + 5) • (2x + 1)(x + 10)

  15. Factor 6y2 – 13y – 5 • (6y2 – 15y)(+2y – 5) • (2y – 1)(3y – 5) • (2y + 1)(3y – 5) • (2y – 5)(3y + 1)

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