if X + 1 is a factor of polynomial 2x^2 +kx ,then k=?
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f(x) = 2x² + kx
And (x + 1) is factor of f(x).
____________ [ GIVEN ]
• We have to find the value of x.
____________________________
Now..
(x + 1) is a factor of f(x)
So,
→ x + 1 = 0
→ x = - 1
Put value of x in f(x)
→ f(-1) = 2(-1)² + k(-1)
→ 0 = 2 - k
→ - 2 = - k
→ 2 = k
→ k = 2
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_________ [ ANSWER ]
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