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Alg1 Polynomial Review

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  • SOLVE: x² + 2x - 8 = 0
    (x + 4)(x - 2) --> x = -4, x = 2
  • Factor: x² + 8x + 12
    (x + 6)(x + 2)
  • Simplify: (x + 2)(x - 5)
    x² - 3x - 10
  • Simplify: (x + 6)(x + 8)
    x² + 14x + 48
  • Find the perimeter of a triangle with side length measuring 4x, 3x - 2, and 5x^2 + 2x - 3.
    5x^2 +9x - 5
  • Simplify: (3x - 7)(x + 3)
    3x² + 2x - 21
  • Create an example of a binomial
    Any polynomial with two terms. I.e. x + 2 or x² - 4x
  • Simplify: (x³ - 2x² + 4x + 6) - (-4x + x² - 3)
    x³ - 3x² + 8x + 9
  • Create an example of a monomial
    Any polynomial with one term. I.e. 3x or -10x²
  • Factor. 3x^2 + 5x - 2
    (3x-1)(x+2)
  • Factor: 2x² + x - 6 = 0
    (2x - 3)(x + 2)
  • Factor: x² - 5x - 6
    (x - 6)(x + 1)
  • Find the area of a square if the length is 4x and the width is 7x^2 - 3x -1.
    28x^3 - 12x^2 - 4x
  • Simplify: (x - 5)²
    x² - 10x + 25
  • Find the area of a circle if the radius is 2x-1. Use 3.14 for pi.
    12.56x^2 - 12.56x + 3.14
  • Create an example of a trinomial
    Any polynomial with three terms. I.e. 5x² - 3x + 1
  • SOLVE: x² - 7x - 10 = 0
    (x - 5)(x - 2) --> x = 5, x = 2
  • Find the perimeter of a rectangle with the length measuring 5x +1 and the width measuring 2x^2 + 3x - 6
    4x^2 + 16x - 10
  • Simplify: (x² - 4x - 1) + (-5 + 5x² - 3x)
    6x² - 7x - 6
  • Simplify: (4x² + 2x - 8) - (7x² + 4 - x)
    -3x² + 3x -12