Question

Let f(x) be a polynomial of degree n > 1 and let "a" be any real number. When f(x) is divided by (x − a) , then the remainder is (A) f(a) (B) f(x) (C) f(−a) (D) f(−x)

Answer 1

Answer:

The answer is A

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Answer 2

Answer:

Theorem 16.1 (Division Algorithm). Let f(x) = anxn + an−1xn−1 + ··· + a1x + a0 = ∑ ... be two polynomials over a field F of degrees n and m > 0. ... Put q0(x) = cxn−m, where c = an/ bm.