1. 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
– 15
– – –
Coefficients of quotient
remainder
x3 + 6x2 + 3x – 15 = (x + 3)(x2 + 3x – 6) + 3
quotient
remainder
divisor
This process is called SYNTHETIC DIVISION

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