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Mastering Polynomial Squaring Techniques

Learn how to square polynomials effectively using multiplication methods to enhance your algebraic skills. Topics include multiplying and dividing monomials, negative exponents, scientific notation, and more.

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Mastering Polynomial Squaring Techniques

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  1. Do Now (x – 2)(x2 – 3x + 5) x3 – 3x2 + 5x – 2x2 + 6x – 10 x3 – 5x2 + 11x – 10

  2. Squaring Polynomials To square something means to multiply it by itself. To square a polynomial, multiply it by itself!! (x + 2)2 (x + 2)(x + 2)

  3. ( x + 2)2 ( x + 2)( x + 2) x2 + 2x + 2x + 4 x2 + 4x + 4

  4. (2x + 3)(2x + 3) 1. (2x + 3)2 4x2 + 6x + 6x + 9 4x2 + 12x + 9

  5. (3x – 5)(3x – 5) 2. (3x – 5)2 9x2 – 15x – 15x + 25 9x2 – 30x + 25

  6. (3 – 5x)(3 – 5x) 3. (3 – 5x)2 9 – 15x – 15x + 25x2 9 – 30x + 25x2 25x2 – 30x + 9

  7. Test Topics • Multiplying Monomials (add exponents) • Dividing Monomials (subtract exponents) * Negative Exponents • Scientific Notation • Adding & Subtracting Polynomials • Multiplying Polynomials • Squaring Polynomials

  8. Review Problems • (4x2y3z)(– 3x4y7) • 5x(x – 4) – 2(x2 – 5)

  9. 3) 4)

  10. (3x2 – 2x + 7) + (-8x2 + 5x + 2) 6) (3x2 – 2x + 7) – (-8x2 + 5x + 2)

  11. (3x – 2y)(5x + 3y) 8) (2x + 9)2

  12. Homework Practice Test STUDY FOR TEST!!!! * Lab Packets Due Next Lab Extra Help – Today 2:30 – 3:15

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