Polynomial synthetic division

Everything You Need in One Place

Homework problems? Exam preparation? Trying to grasp a concept or just brushing up the basics? Our extensive help & practice library have got you covered.

Learn and Practice With Ease

Our proven video lessons ease you through problems quickly, and you get tonnes of friendly practice on questions that trip students up on tests and finals.

Instant and Unlimited Help

Our personalized learning platform enables you to instantly find the exact walkthrough to your specific type of question. Activate unlimited help now!

Get the most by viewing this topic in your current grade. Pick your course now.

  1. Synthetic division by (xโˆ’b)\left( {x - b} \right)
    (4x6โˆ’5x3+x2โˆ’9)รท(xโˆ’3)\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
    1. Synthetic division by (axโˆ’b)\left( {ax - b} \right)
      Operate synthetic division and write the division statement.
      1. (8x3โˆ’14x2+7xโˆ’1)รท(2xโˆ’5)\left( {8{x^3} - 14{x^2} + 7x - 1} \right) \div \left( {2x - 5} \right)
      2. (29x3โˆ’12x4โˆ’x)\left( {29{x^3} - 12{x^4} - x} \right) รท \div (5โˆ’3x)\left( {5 - 3x} \right)
    Topic 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 (xโˆ’b)\left( {x - b} \right)
    Polynomial synthetic division