If (x + 1) is a factor of the polynomial (2x2 + kx) then the value of k is

Foundation

Mathematics Foundation

Factor theorem

Question

If (x + 1) is a factor of the polynomial (2x² + kx) then the value of k is

A

– 2

B

3

C

2

D

– 3

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Let p(x) = 2x² + kx. Then, p(– 1) = 0.
∴ 2 × (– 1)² + k × (– 1) = 0 ⇒ k = 2.