F.4 POLYNOMIALS

2010-11-16 1:19 am
When f(x)=2x^3+px^2+7x+q is divided by x and x-1 , the remainder are both 6.

(A)Find the values of p and q
(B)Solve the equation f(X)=6

P.S. 唔好上網抄,因為有人問過依條,但果位人兄係答錯的

回答 (1)

2010-11-16 1:39 am
✔ 最佳答案
(a) f(0)=f(1)=6
So q=6, 2+p+7+q=6=>p=-9

(b) f(x)=6
2x^3-9x^2+7x+6=6
x(2x^2-9x+7)=0
x(x-1)(2x-7)=0
x=0 or 1 or 7/2


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