Question

If x + 1 is a factor of the following polynomial, then what is the value of k?
p(x)=2x^2+kx

Answer 1

Step-by-step explanation:

(x + 1) is a factor of the polynomial

p(x) = 2x² + kx

So , 2(-1)² + k(-1) = 0

2(1) - k = 0

2 - k = 0

k = 2

Answer 2

Answer:

Step-by-step explanation:

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

if x + 1 is the factor then the value of x,

x + 1 = 0

x = -1

we have got the value as -1 of x,

so now we will substitute the value of x to p(x)

p(x) = 2($-1^{2}$)+k*-1

p(x) = 2 - k =0

         -k = -2

          k = 2

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