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Worksheet by Kuta Software LLC Unit 2 Polynomials 2.7 Factoring Perfect Square Trinomials Name_____ Date_____ Period____ ©O y2P0d1m4z JKguOtWaC DSwoofVtKwPa^rVeV qLnLOCm.f M SAflmlp arEiKgvhftrsi Erke_sxe]rlvPe\dD. Factor each completely. 1) 3n2 + 30n + 752) 9a2 - 30a + 25 3) r ...
The idea of a perfect square permeates mathematics and especially algebra. Properties of perfect squares will help you in factorising and expanding algebraic expressions. An understanding of perfect squares is essential for success in mathematics. Introduction Examples of perfect squares are 52, x2, a2b2, (xy)2 and (a±b)2. For
The rule for expanding perfect squares can be used in reverse for factorising perfect squares. Examples Check each of the following expressions and, if it is a perfect square, state the perfect square.
in two examples is called the di erence of two squares, and is written: A 2 B = (A+B)(A B) The next common factorization that is important is called a perfect square.
Example: Determine whether x2 + 22x + 121 is a perfect square. If it is, factor it. To determine whether x2 + 22x + 121 is a perfect square, answer each question. Î22x = 2(x)(11) (YES) Since all three answers are “YES,” the trinomial x2 + 22x + 121 is a perfect square. It can be factored as follows: 8.
Factoring Perfect Square Trinomials Math www.CommonCoreSheets.com Name: Answers 5. 1-10 95 90 85 80 75 70 65 60 55 50 11-20 45 40 35 30 25 20 15 10 5 0 1) x2+14x+49 2 1. 4. 10. 11. 15. 2 20. Factoring Perfect Square Trinomials 5.
Factor Trinomials Perfect Square 1. factor 16x −8x+1 2. factor 25x +40x+16 3. factor 4x +12x+9 4. factor 4x −12x+9 5. factor 9x −12x+4 6. factor 4x −4x+1
