Polynomial synthetic division

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Now Playing:Synthetic division of polynomial functions– Example 1
Examples
  1. Synthetic division by (xb)\left( {x - b} \right)
    (4x65x3+x29)÷(x3)\left( {4{x^6} - 5{x^3} + {x^2} - 9} \right) \div \left( {x - 3} \right)
    i) Operate synthetic division
    ii) Write the division statement
    What is a polynomial function?
    Notes
    Synthetic division is a shortcut method of dividing polynomials as opposed to long division. Yet, this method can only be used when we are dividing a liner expression and the leading coefficient is a 1.
    Synthetic division by (xb)\left( {x - b} \right)
    Polynomial synthetic division