Question

if -4 is zero of polynomial : p (x) = x^2 +11x +k then find the value of k​

Answer 1

according to question -4 is zero of polynomial

so p(-4) = 0

so put x = -4 we get

p(-4) = -4^2 + 11(-4) +k = 0

p(-4) = 16-44 +k = 0

- 28+k = 0

so we get k = 28

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Answer 2

p(x)=x²+11x+k

putting p(x)=0

and putting value of x =p(-4)

(-4)²+11(-4)+k=0

16-44+k=0

-44+k=-16

k=-16+44

K = 28