Question

x^2-5x+k=0, if x+1 is a factor , then k is 

Answer 1

Answer:

f(x)=x^2-5x+k=0

g(x)=x+1=0

=x=-1

f-1)=(-1)^2-5×(-1)+k=0

=1+5+k=0

=6+k=0

=k=-6

Answer 2

Answer:

k = -6

Step-by-step explanation:

If x + 1 is the factor then,

x = -1 is the zero of the p(x).

Here,

∴ x² - 5x + k = 0

∴ (-1)² - 5(-1) + k = 0     [substitute x = -1]

∴ 1 + 5 + k = 0

∴ 6 + k = 0

∴ k = -6

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