MCQ
If (x + 5) is a factor of = x3 - 20x + 5k then k = ?
- A-5
- B5
- C3
- D-3
✓
Answer
- 5
Solution:
p(x) = x3 - 20x + 5k
Now, x + 5 = 0 ⇒ x = (-5)
By factor theorem,
p(-5) = 0
⇒ (-5)3 - 20(-5) + 5k = 0
⇒ -125 + 100 + 5k = 0
⇒ -25 + 5k = 0
⇒ 5k = 25
⇒ k = 5
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