In this lesson, you'll learn the shortcut method of dividing polynomials using synthetic division. The key is making sure that the divisor is in the form of x minus r and the coefficient of the variable is 1. You'll follow a simple process of adding and multiplying coefficients to get the answer. The remainder term, if not zero, is placed at the end, and then you work backwards to get your constant, linear, quadratic, and cubic terms. Remember that the degree of each term should always be one less than the degree of the previous term.
Dividing polynomials using synthetic division
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Questions answered by this video:
How do I divide polynomials using synthetic division?
How do I solve (x^4-3x^3+5x-6)/(x+2) by using synthetic division?
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This lesson gives an example of how to divide polynomials by using synthetic division.