Question

If x - 1 is a factor of polynomial 2x² + x + k, then find the value of k

Answer 1

Answer:

k=-3

Step-by-step explanation:

x-1=0

x=1

p(x)=2x^2+x+k

2(1)^2+1+k=0

2+1+k=0

3+k=0

k=-3

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Answer 2

Step-by-step explanation:

x-1=0

x=1

$p(x) = 2 {x}^{2} + x + k$

$p(1) = 2 {1}^{2} + 1 + k = 0$

$= 2 + 1 + k = 0$

$= 3 + k = 0$

$k = - 3$