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 Problems (2)
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f(x) = x³ − 13x − 12
Factor 2y³ − 5y² − 4y + 3 given y − 3 is a factor.