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Question
Divide first polynomial by second polynomial and write the answer in the form ‘Dividend = Divisor × Quotient + Remainder’.
`x^3 - 64 ; x - 4`
Solution
`x^3 - 64 = x^3 + 0x^2 + 0x - 64`
Using long-division method,
x2 + 4x + 16
`x - 4)overline(x^3 + 0x^2 + 0x - 64)`
x3 - 4x2
- +
4x2 + 0x
4x2 - 16x
- +
16x - 64
16x - 64
- +
0
Dividend = Divisor × Quotient + Remainder
`therefore x^3 - 64 = (x - 4) xx (x^2 + 4x +16) + 0`
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