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<p>(x3 + 7x2 +x − 6) ÷ (x2 + 4x − 2) SOLUTION a. Remainder Theorem: If a polynomial f(x) is divided by x – k, then the remainder is r = f(k). (x3 + 7x2 +x − 6) ÷ (x2 + 4x − 2) SOLUTION a. Use the Remainder Theorem. At each stage, divide the term Its parent function!! =!!!is represented by the thin curve Section Dividing Polynomials: Long Division and Synthetic Division OBJECTIVE PRACTICEDividing by a Polynomial To divide a polynomial by a polynomial other than a monomial, we use long division. Divide f(x) = x3 + 5x2 – 7x +by x –e. (2x4 + 3x3 + 5x − 1) ÷ (x2 + 3x + 2) b. Long Division of Polynomials When you divide a polynomial f(x) by a nonzero polynomial  Worksheet by Kuta Software LLC AlgebraDividing Polynomials Name_____ Date_____ Period____ ©T H2r0u1q6[ eKwuJtCal LSgoMfWtzwTaTrget yLnLuCr.V C WAhlclU UraiHgUhttvso Lr`eVs[ekrzvSeVdmAnswers to Dividing Polynomials 1) ©n p2C B2f tK au GtDaF bS Ao5f ptlw Gaur meI 4LbLSCt. –Synthetic and Long Polynomial DivisionAlgebra Skillz GRAPH Below, the graph of!! Include a “0” as the coeffi cient of x2 in the dividend. Determine if (x + 3) is a factor of (x) = 2x3 + x2 – 8x +by using synthetic division. q f zM ba Kdje o RwJiAtNhG eIBn4fbi hn DiFt 4eh zA El9g BeIb jr TaH U1h.D Worksheet by Kuta Software LLC Kuta SoftwareInfinite AlgebraName_____ Dividing Polynomials Date_____ Period____ Divide Synthetic Division is a method for dividing polynomials that is quicker and more efficient than long division: Examples: d. =! Include a “0”  Use long division to divide polynomials by other polynomials. Polynomial long division is  polynomials is called polynomial long division. Determine if (x + 3) is a factor of f(x) = 2x3 + x2 – 8x +by using synthetic division Examples: e. Factor Theorem Long and Synthetic Division Worksheet Date_____ Period____ Divide) (r2 + 6r +)÷(r + 5) 2) (r2 +r +)÷(r + 7) 3) (n3 − 5n2 −n −)÷(n − 9) 4) (x3 + 6x2 −x +)÷(x +) 5) (2v3 −v2 +v −)÷(v − 6) 6) (8r3 −r2 −r −)÷(r − 7) polynomials is called polynomial long division. (2x4 + 3x3 + 5x − 1) ÷ (x2 + 3x + 2) b. − 4! Using Polynomial Long Division a. If so, find the other factors. Use synthetic division to divide polynomials by binomials of the form x − k. Write polynomial division in the same format you use when dividing numbers. Using Polynomial Long Division a. +is sketched in bold. s O LARljl g DrPi zg 5hvt Ss1 mrNeusfe mrEvDexdt. Divide f(x) = x3 + 5x2 – 7x +by x –f. Write polynomial division in the same format you use when dividing numbers.</p></translate>
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