Question

Q3. Divide a polynomial by a binomial and write the quotient and remainder
c) s^3 - 64 ÷ ( s - 4)​

Answer 1

Answer:

THIS IS ONE OF THE METHOD

ALTERNATE METHOD:

$\frac{ {s}^{3} - 64 }{s - 4 } \\ we \: know \: that \: {a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2} ) \\ \frac{ {s}^{3} - {4}^{3} }{s - 4} \\ \frac{(s - 4)( {s}^{2} + 4s + 16) }{(s - 4)} \\ by \: s - 4 \: in \: numerator \: with \: denominator \: \\ quotient = \: {s}^{2} + 4s + 16 \\ remainder \: = \: 0$

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