Question

. If m-2 is a factor of m^2 + 3km - 2k , then k =? *

1 point

2

-2

1

-1​

Answer 1

Answer:

p(2) = 2^2+6k-2k=0

=4+4k=0

=4k=-4

=k= -1

Answer 2

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 ✓

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