2.1 Polynomial long division

Polynomial long division

It may sound hard, but the idea of polynomial long division is basically the same as any other long divisions. A division statement has 4 elements: dividend, division, quotient, and remainder.

Lessons

Notes:
A division statement can be written in 2 ways:
i) dividend = (divisor) (quotient) + remainder
ii) dividenddivisor\frac{dividend}{divisor} = quotient + remainderdivisor\frac{remainder}{divisor}
    • a)
      Operate long division
    • b)
      Identify:
      • Dividend:
      • Division:
      • Quotient:
      • Remainder:
    • c)
      Write the division statement in 2 ways.
    • b)
      (x2+6x2)÷(x)\left( { - {x^2} + 6x - 2} \right) \div \left( x \right)
  • 3.
    Operate long division.
    • a)
      (x3+5x11)÷(x2)\left( {{x^3} + 5x - 11} \right) \div \left( {x - 2} \right)
    • c)
      (4x3+6x29x+5)÷(2x21)\left( {4{x^3} + 6{x^2} - 9x + 5} \right) \div \left( {2{x^2} - 1} \right)
    • a)
      Operate long division.
    • b)
      Write the division statement.
    • c)
      Is (3x+5)\left( {3x + 5} \right) a factor of (6x2+7x5)\left( {6{x^2} + 7x - 5} \right)? Explain.
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Polynomial long division

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