. If m-2 is a factor of m^2 + 3km - 2k , then k =? *
1 point
2
-2
1
-1
Answers
Answered by
8
Answer:
p(2) = 2^2+6k-2k=0
=4+4k=0
=4k=-4
=k= -1
Answered by
36
To Find :
- we need to find the Value of m
Solution :
It is given that m - 2 is a factor of given equation .
So,
- m - 2 = 0
- m = 2
Equation = m² + 3km - 2k
Substituting value of m in given equation by that we can easily got Value of k.
⟶ m² + 3km - 2k = 0
⟶ 2² + 3 × k × 2 - 2k = 0
⟶ 4 + 6k - 2k = 0
⟶ 4 + 4k = 0
⟶ 4k = -4
⟶ k = -4/4
⟶ k = -1
Hence,
- Value of k = -1
- Option D) is correct ✓
━━━━━━━━━━━━━━━━━━━━━━━━━
Similar questions
Math,
4 months ago
Geography,
9 months ago
Math,
9 months ago
Computer Science,
1 year ago
Math,
1 year ago