Day 55 - Dividing Polynomials - 11.04.14

Updates
  • Quiz tomorrow on:
    • Rational Expressions
    • Excluded Values
    • Simplifying Rational Expressions
    • Multiplying/Dividing Rational Expressions
    • Unit Conversions (Dimensional Analysis)
    • Dividing Polynomials
Bell Ringer
  • Multiplying/Dividing Rational Expressions

  1. Simplify .

    1. 50a5 / 588

    2. 210a2 / (140a3)

    3. 3 / (2a)

    4. 2 / (3a)

    5. none of the above

  2. Convert 14 mm to its equivalent in m.

    1. 0.14

    2. 0.014

    3. 0.0014

    4. 1.4

    5. none of the above

  3. Simplify .

    1. (x + 1)2 / 4

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

    3. (x + 1)(x2 + 3x + 2) / (4x + 8)

    4. (x + 1) / 4

    5. none of the above

  4. Convert a speed of 73.5 km/hr to its equivalent in m/s. Round to one decimal place.

    1. 2.0 m/s

    2. 1224 m/s

    3. 20 m/s

    4. 20.4 m/s

    5. none of the above

  5. Simplify .

    1. [(x - 3)(x + 4)] / [(x - 6)(x + 3)]

    2. [(x + 3)(x + 4)] / [(x - 6)(x + 3)]

    3. [(x - 3)(x - 4)] / [(x - 6)(x + 3)]

    4. [(x - 3)(x - 4)] / [(x + 6)(x + 3)]

    5. none of the above
Review
  • Prerequisites
    • Dividing by 0
    • Rational Numbers
    • Numerator and Denominator
    • Polynomials
  • Rational Functions
    • Polynomial / Polynomial
    • Excluded Values
      • Graphs at Excluded Values
    • Simplifying Rational Expressions
    • Multiplying/Dividing Rational Expressions
      • Unit Conversions (Dimensional Analysis)
Lesson
Exit Ticket
  • Posted on board at end of block.
Lesson Objective(s)
  • How can polynomials be divided using long division?
Standard(s)
  • Solving Rational Equations - 12.9
    • CC.9-12.A.CED.1 Create equations that describe numbers or relationship. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
    • CC.9-12.A.REI.11 Represent and solve equations and inequalities graphically. Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.
    • CC.9-12.A.REI.2 Understand solving equations as a process of reasoning and explain the reasoning. Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.
  • Dividing Polynomials - 12.5
    • CC.9-12.A.APR.6 Rewrite rational expressions. Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.
Mathematical Practice(s)
  • #1 - Make sense of problems and persevere in solving them
  • #2 - Reason abstractly and quantitatively
  • #4 - Model with mathematics
  • #5 - Use appropriate tools strategically
  • #7 - Look for and make use of structure

Past Checkpoints