If x + 1 is a factor of the polynomial 2x² + kx, then the value of k is
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By using factor theorem,
x + 1 = 0
→ x = -1
Substitute value of x in the given polynomial;
2x² + kx = 0
→ 2(-1)² + k( -1 ) = 0
→ 2( 1 ) + (-k) = 0
→ 2 + (-k) = 0
→ 2 - k = 0
∴ k = 2
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