Find the value of k if x+k is the factor of polynomialx^3+kx^2-2x+k+5

1.	Find the value of k if x+k is the factor of polynomialx^3+kx^2-2x+k+5
Answer» Answer: we KNOW that x+k is factor of POLYNOMIAL p(x) so, x+k=0 x=-k now, putting the VALUE of x in P(x), we get : (-k) ^3+k×(-k) ^2+k+5=0 (-k) ^3+k^3+k+5=0 now, k+5=0 hence, k=-5

Answer»

Answer:

we KNOW that x+k is factor of POLYNOMIAL p(x)

so, x+k=0

x=-k

now, putting the VALUE of x in P(x), we get :

(-k) ^3+k×(-k) ^2+k+5=0

(-k) ^3+k^3+k+5=0

now, k+5=0

hence, k=-5

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Find the value of k if x+k is the factor of polynomialx^3+kx^2-2x+k+5

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