9. If x + k is a factor of the polynomial x^3 + kx ^2- 2x + k + 4 find the value of k.
Answers
Answered by
1
Answer:
Here, x= -k
f(-k) =0
Or -K³+k(-k) ²-2(-k) +5=0
Or, -K³+k³+2k+5=0
Or, 2k= -5
Thus, k = -5/2
Answered by
1
Answer:
x = -k
Step-by-step explanation:
f(x) = x³ + kx² - 2x + k + 4 = 0
f(k) = k³ - k³ + 2k + k + 4 = 0
⇒ 3k + 4 = 0
⇒3k = -4
⇒k = 3/4
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