1.if x+2 is a factor of x^3 - ax^2 +2b then -2a + b -1=?
ANS:3
2.if x^2 -9 is a factor o 2x^3 +ax -18x +7b , find a pair of possible values of
a and b
ANS:a=7 b=-9
3.P(x)=ax^5 - bx^3 + cx + d is divided dy x+2 , the remainder is R
if P(x) is divided by x-2 remainder is ?
ANS:2d-R
4.P(x) is divided dy x-a the remainder is R
IF P(x)- 2R is divided by x-a remainder is ?
ANS : -R
請 寫出步 驟...@@
F.4 polynomials
2011-04-17 7:29 pm
回答 (1)
2011-04-17 7:39 pm
✔ 最佳答案
1 f(-2) = 0(-2)^3 - a(-2)^2 + 2b = 0-8 - 4a + 2b = 0-2a + b - 4 = 0So, -2a + b - 1 = 4 - 1 = 32 x = -3 and 3 is a factor of 2x^3 + ax^2 - 18x + 7b-16 + 9a + 54 + 7b = 016 + 9a - 54 + 7b = 018a + 14b = 0 or 9a + 7b = 0One possible pair of a and b is (7,-9)3 P(-2) = -32a + 8b - 2c + d = RP(2) = 32a - 8b + 2c + d = 2d - R 4 P(a) = RLet f(x) = P(x) - 2R. f(a) = P(a) - 2R = -R
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