(c) Show that (x40 + x23 +
23 + x30 + :13) is divisible by (x2 + 1).
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Show that (x40 + x23 +
23 + x30 + :13) is divisible by (x2 + 1).
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x-1 – 1 is divided by (x – 1)
= x-1 – 1 × 1/(x-1)
= 1/x – 1 × 1/(x-1)
= (1 – x/x) × 1/(x-1)
= - (1 – x)/x × 1/(x-1)
= – 1/x [cancel x – 1 from the numerator and denominator].
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