Find the value of k it x+1 is a factor of P(x) = 2x ^ 2 + kx - 3k
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k=1/2
Step-by-step explanation:
According to the Question
p(x) = 2x² + kx - 3k
If (x + 1) is a factor of p(x)
Therefore
x + 1 = 0
x = -1
Substitute the value of x in Equation
⇒ 2×(-1)^2 + k ×( -1 )+ 3 × k
⇒ 2 - k - 3k
⇒ 2 - 4k
⇒ k = 2/4= 1/2
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