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Comprehensive Review of Algebra 2 Factoring Concepts and Techniques

This review covers essential Algebra 2 factoring topics, including addition/subtraction of polynomials, exponent properties, FOIL method, special products, binomial expansion, and complete factoring techniques. Students will learn how to factor various expressions, apply the FOIL method in products of binomials, and understand key properties of exponents. The review includes multiple examples and practice problems to reinforce learning. Perfect for students preparing for tests or anyone looking to strengthen their algebra skills.

ignatius-mendoza
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Comprehensive Review of Algebra 2 Factoring Concepts and Techniques

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  1. Alg. 2 Factoring Test Review • Addition/Subtraction (7x3 - 3x2 + 5x + 6) - (4x3 - 7x + 3) = 3x3 - 3x2 + 12x + 3

  2. Alg. 2 Factoring Test Review • Exponent Properties (4x5)(-2x-3) = -8x2 (-2x5)3 = -8x15 - 8x3y-2 - 16x-3y4 = x6/2y6

  3. Alg. 2 Factoring Test Review • FOIL/Special Products (4x - 1)(6x + 5) = 24x2 + 14x - 5 (4h3 - 5x)(4h3 + 5x) = 16h6 - 25x2 (2xa - 7y)2 = 4x2a -28xay + 49y2

  4. Alg. 2 Factoring Test Review • Binomial Expansion (5x + 2)2 = 25x2 + 20x + 4 (c - 6)3 = c3 - 18c2 + 108c - 216 (2x - 5y)3 = 8x3 - 60x2y + 150xy2 - 125y3

  5. Alg. 2 Factoring Test Review • Factoring 6t4ux2 - 10t2u2x = 2t2ux(3t2x - 5u) x2 - 3x - 28 = (x - 7)(x + 4) 12x2 - x - 6 = (4x - 3)(3x + 2)

  6. Alg. 2 Factoring Test Review • Factoring Special Products 16x2 - y2z2 = (4x - yz)(4x + yz) 25x2 - 90xy + 81y2 = (5x - 9y)2 x3 + 64y3 = (x + 4)(x2 - 4xy + 16y2)

  7. Alg. 2 Factoring Test Review • Factoring Completely 25x2 - 25 = 25(x - 1)(x + 1) 42x2 + 77x - 70 = 7(3x - 2)(2x + 5) 3cx3 + 81c = 3c(x + 3)(x2 - 3x + 9)

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