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6.3 Trinomial Squares

6.3 Trinomial Squares. Trinomial Square. first and last terms perfect squares first and last terms positive middle term is the product of the first two term’s square root multiplied by 2. Song To the tune of the “Itsy Bitsy Spider". First you take the square root of terms one and three.

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6.3 Trinomial Squares

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  1. 6.3 Trinomial Squares

  2. Trinomial Square • first and last terms perfect squares • first and last terms positive • middle term is the product of the first two term’s square root multiplied by 2

  3. SongTo the tune of the “Itsy Bitsy Spider" First you take the square root of terms one and three. Double the product, then you check to see, If it matches term two you're ready to declare The three-term trinomial is a perfect square.

  4. Is x2 + 8x + 16a Trinomial Square? Yes!!

  5. Is x2 - 12x + 4a Trinomial Square? no

  6. To Factor Trinomial Squares: • A2+ 2AB + B2(A + B)2 • A2- 2AB + B2(A - B)2 • Take the square root of terms 1 and 3 • Use the sign of the middle term • Square the binomial

  7. Factor: x2 - 8x + 16 Example 1: (x - 4)2

  8. Example 2: Factor: 4x2 + 12x + 9 (2x + 3)2

  9. Check your answer using FOIL or put it in a chart (x – 4)(x – 4) Example 3: Factor: x2 - 8x + 16 x ( - )2 4

  10. Example 4: Factor: 4x2 + 12x + 9 (2x + 3)2

  11. Example 5: Factor: 9x2 + 30xy + 25y2 (3x + 5y)2

  12. Ex 6: Factor:

  13. Homework :Page 271 (1-20) all

  14. 6.3 Day 2 If there is a GCF then factor it out first before you factor it as a binomial square.

  15. Example 1: Factor: 2x2 + 12x + 18 2(x2 + 6x + 9) 2(x + 3)2

  16. Ex 2: Factor:

  17. Ex 3: Factor:

  18. Homework: Page 271 (21-38) all

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