Quandaries
and Queries |
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Name: Ron Who is asking: Parent Level of the question: Secondary Question: If f(x) is divided by (x-3), the remainder is 5, and if it is divided by (x+1), the remainder is -3. Find the remainder when f(x)is divided by (x-3)(x+1). |
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Hi Ron, You cannot say anything unless f(x) is a polynomial. if so then the factor theorem says that Now plug x = 3 into this equality to get a formula for h(3) (namely, h(3) = 2). The factor theorem then gives you a formula for h(x), namely h(x) = (x-3) k(x) + 2. Just put this expression for h(x) into the second equation for f(x) and read off the answer. Chris |