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HW 3.2 with Corrections Due Tuesday

Learn how to factor perfect square trinomials using reverse formulas for quick and accurate solutions. Real-world examples included.

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HW 3.2 with Corrections Due Tuesday

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  1. HW 3.2 with Corrections Due Tuesday

  2. HW 3.3(a) Due 01/22/19: On Website: # 2,16-21,39,41,43,46-48,54,58 Eureka Module 4 Lesson 3 Exit Ticket #1,2

  3. BELL-WORK *If you have not already done so, take a NEW Eureka Text book & Exit Ticket book out of the boxes on the back counter. **Write your name on one of the short sides of both books and write Algebra I on the other, and ‘Matthews’ on the long side. ***Until further notice, you do not have to bring your other text to class. ****Study Island Due Tuesday! Eureka Module 4 Lesson 1 Examples 8-9

  4. Factoring a Perfect Square Trinomial To factor a perfect square trinomial, use the 2 perfect square trinomial formulas in reverse. (a + b)2 = a2 + 2ab + b2 and (a – b)2 = a2 – 2ab + b2 Examples: Factor h2 + 10h + 25 h2 + 2(h)(5) + 52 (h + 5)2 Factor 4t2 + 36t + 81 (2t)2 + 2(2t)(9) + 92 (2t + 9)2 Factor 9g2 – 12g + 4 (3g)2 – 2(3g)(2) + 22 (3g – 2)2 Factor 25g2 – 30g + 9 (5g)2 – 2(5g)(3) + 32 (5g – 3)2 Note: factoring like this can only be usedif we have a perfect square trinomial!

  5. Factoring a Perfect Square Trinomial Factor: y2 – 16y + 64 y2 – 2(y)(8) + 82 (y – 8)2 9n2 – 42n + 49 (3n)2 – 2(3n)(7) + 72 (3n – 7)2 25z2 + 40z + 16 (5z)2 – 2(5z)(4) + 42 (5z + 4)2

  6. Real-World Factoring of a Perfect Square Trinomial Given that the expression 100r2 – 220r + 121 represents the area of a square, find the side length of the square. (10r)2 – 2(10r)(11) + 112 (10r – 11)2 is the area of the square So 10r – 11 is the length of a side.

  7. Factoring a Perfect Square Trinomial Factor 3x2 + 48x + 192 3[x2 + 16x + 64] 3[x2 + 2(x)(8) + 82] 3(x + 8)2 Factor 7h2 – 56h + 112 7[h2 – 8h + 16] 7[h2 – 2(h)(4) + 42] 7(h – 4)2 The first step in factoring is to pull out the greatest common factor.

  8. Factoring a Perfect Square Trinomial Factor: 12x2 + 12x + 3 3[4x2 + 4x + 1] 3[(2x)2 + 2(2x)(1) + (1)2] 3(2x + 1)2 27x2 + 90x + 75 3[9x2 + 30x + 25] 3[(3x)2 + 2(3x)(5) + (5)2] 3(3x + 5)2

  9. Factoring a Perfect Square Trinomial Factor: 8p2 + 56p + 98 2[4p2 + 28p + 49] 2[(2p)2 + 2(2p)(7) + (7)2] 2(2p + 7)2 8s2 – 64s + 128 8[s2 – 8s + 16] 8[(s)2 – 2(s)(4) + (4)2] 8(s – 4)2

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