Using Synthetic Division to Factor - Concept

Concept Concept (1)

One way that we can factor a polynomial is to use synthetic division. Synthetic division factoring can be an effective way to factor complicated polynomials with whole number coefficients. When factoring using synthetic division, we determine one of the roots and use synthetic division to determine the remaining coefficient. If the remaining coefficient is equal to zero, then the expression is divisible by that factor.

Sample Sample Problems (2)

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Using Synthetic Division to Factor - Problem 1

f(x) = x³ − 13x − 12

Is x + 4 a factor?
Is x + 1 a factor?
Problem 1
How to factor a trinomial given a factor.
Using Synthetic Division to Factor - Problem 2

Factor 2y³ − 5y² − 4y + 3 given y − 3 is a factor.

Problem 2
How to factor a trinomial given a factor.