Polynomial synthetic division

All in One Place

Everything you need for better grades in university, high school and elementary.

Learn with Ease

Made in Canada with help for all provincial curriculums, so you can study in confidence.

Instant and Unlimited Help

Get the best tips, walkthroughs, and practice questions.

0/4
?
Examples
Lessons
  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