Find the the value of 'k' if (x+1) is a factor of x³-kx²+x-2.
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Answer:
x+1
=) x=-1
Let x^3-kx^2+x-2 be f(x)
:. f(x)=0
f(x)= x^3-kx^2+x-2=0
f(-1)=-1^3-(k×(-1)^2)+(-1)-2=0
=)1-k-1-2=0
=)k-2=0
=)k=2
:. Value of k is 2.
Step-by-step explanation:
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