Division of a Polynomial

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Presentation transcript:

Division of a Polynomial Find the QUOTIENT and REMAINDER when x3 + 6x2 + 3x – 15 is divided by x +3. divisor 9 28 3 r 1 x + 3 = 0 x = – 3 remainder quotient – 3 1 6 3 – 15 – 3 – 9 18 1 3 – 6 3 Coefficients of quotient remainder x3 + 6x2 + 3x – 15 = (x + 3)(x2 + 3x – 6) + 3 quotient remainder divisor This process is called SYNTHETIC DIVISION

2) Express f(x) = 12x3 – 17x2 + 3 in the form (ax – b)Q(x) + R when f(x) is divided by (3x – 2). 12 – 17 0 2 8 – 6 – 4 12 – 9 – 6 – 2 f(x) = (x – )(12x2 – 9x – 6) – 2 f(x) = (3x – 2)(4x2 – 3x – 2) – 2