Let f(x) be a polynomial.
If f(x) is divisible by x-1,
which of the following must be a factor of f(2x+1)?
A. x
B. x-3
C. 2x-1
D. 2x+1
Answer with full explanation please!
Factor Polynomials
2014-10-31 9:56 pm
回答 (1)
2014-11-01 1:34 am
✔ 最佳答案
As f(x) is divisible by (x-1), so it can be written as :f(x) = (x-1) * q(x)
where q(x) is the quotient.
By putting x = 2x+1, we have,
f(2x+1) = (2x+1-1) * q(2x+1)
that is,
f(2x+1) = 2x * q(2x+1)
that means 2, x, and q(2x+1) are the factors of f(2x+1).
therefore, the answer is (A).
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