[Math] Polynomials

2008-03-27 12:10 am
1.) When the polynomial x^2 - 3x + 4 is divided by x+k ,the remaider is 2.
what are the possible values of k?

2.) If x-k is a factor of x^2 +3x-k-3 , find the value(s) of k.

回答 (1)

2008-03-27 12:21 am
✔ 最佳答案
1.
f(-k)=2
k^2 +3k +4 =2
k^2 +3k +2 =0
(k+1)(k+2)=0
k=-1 or k=-2

2. g(k)=0

k^2+3k-k-3=0
k^2+2k-3=0
(k+3)(k-1)=0

k=1 or k=-3


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