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igor_vitrenko [27]
3 years ago
9

If f(x)=x^5+5x^3+4, what is the remainder when f(x) is divided by x-2?

Mathematics
1 answer:
Olin [163]3 years ago
6 0

By the polynomial remainder theorem, the remainder is

<em>f</em> (2) = 2⁵ + 5×2³ + 4 = 32 + 40 + 4 = 76

(The theorem says a polynomial <em>p(x)</em> has remainder <em>p(c)</em> upon dividing it by <em>x</em> - <em>c</em>.)

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