(ii) If x + 2 is a factor of p(x), then k = [1] (a) 0 (b) 4 (c) 8 (d) 12
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Answer:
Step-by-step explanation:
Given expression is x
3
+kx
2
+12x−8=0
x−2 is a factor of the given expression.
So, x=2
Substitute in the equation, we get
2
3
+k(2)
2
+12(2)−8=0
⇒8+4k+24−8=0
⇒4k=−24
⇒k=−6
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