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प्रश्न
Find the quotient and the remainder when f(x) = x4 – 3x2 + 4x + 5 is divided by g(x) = x2 – x + 1.
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उत्तर
x2 + x – 3
`x^2 - x + 1")"overline(x^4 + 0x^3 - 3x^2 + 4x + 5)`
x4 – x3 + x2
– + –
x3 – 4x2 + 4x + 5
x3 – x2 + x
– + –
–3x2 + 3x + 5
–3x2 + 3x – 3
+ – +
8
Quotient q(x) = x2 + x – 3
Remainder r(x) = 8
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