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Let f (x) = x ^ 4-2x ^ 3 + 3x ^ 2-2x + 1 1. Find the remainder r of F (x) divided by the following formulas: (1) x + 1, (2) X-1, (3) x + 2, (4) X-2, (5) 2 (2) Respectively calculate: F (- 1), f (1), f (- 2), f (2), f (- 1 / 2)
The first four are based on the remainder theorem: the remainder of F (x) divided by x-a is f (a), which can be directly calculated by substituting the corresponding value
r1=f(-1)=9
r2=f(1)=1
r3=f(-2)=49
r4=f(2)=9
R 5 = 0, because f (x) is a multiple of 2
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