Polynomial synthetic division

Polynomial synthetic division

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.

Lessons

Synthetic division by (xb)\left( {x - b} \right)
Polynomial synthetic division
  • 1.
    Synthetic division by (axb)\left( {ax - b} \right)
    Operate synthetic division and write the division statement.
    a)
    (8x314x2+7x1)÷(2x5)\left( {8{x^3} - 14{x^2} + 7x - 1} \right) \div \left( {2x - 5} \right)

    b)
    (29x312x4x)\left( {29{x^3} - 12{x^4} - x} \right) ÷ \div (53x)\left( {5 - 3x} \right)