5-4 Dividing Polynomials Synthetic Division Today’s Objective: I can divide polynomials

Why do I need to divide polynomials? Find all zeros: 𝑓 𝑥 = 𝑥 5 −6 𝑥 4 +20 𝑥 3 −60 𝑥 2 +99𝑥−54 Graphing: Only finds real zeros. Factoring: Easiest way to factor is to divide out a known factor. Dividing Terms P(x): Dividend D(x): Divisor Q(x): Quotient R(x): Remainder Solution:

Long Division with Polynomials multiply Scratch work Bring down next term subtract

Long Division with Polynomials You must have all terms listed multiply Scratch work Mental work Bring down next term subtract

Synthetic Division Coefficient of each term of dividend Root or Zero of divisor Add multiply Remainder

Synthetic Division Coefficient of each term of dividend Root or Zero of divisor Add multiply Remainder

Synthetic Division Coefficient of each term of dividend Root or Zero of divisor Add multiply Remainder

Synthetic Division Coefficient of each term of dividend Root or Zero of divisor Add multiply Because root was divided by 5 Divide quotient by 5, except the remainder

Synthetic Division Coefficient of each term Root or Zero of divisor Add multiply Because root was divided by 7 Divide quotient by 7, except remainder