Question 1060861
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f(x) = {{{k(x+5)(x-(3-4i))(x-(3+4i))}}}

f(x) = {{{k(x+5)((x-3)+4i)((x-3)-4i)}}}

f(x) = {{{k(x+5)(x^2-6x+9-16i^2)}}}

f(x) = {{{k(x+5)(x^2-6x+9+16)}}}

f(x) = {{{k(x+5)(x^2-6x+25)}}}


Use the given condition f(8)=2 to find k.

{{{k*(8+5)*(8^2-6*8+25)}}} = 2.

k = {{{2/(13*41)}}} = {{{2/533}}}.

f(x) = {{{(2/533)*(x+5)*(x^2-6x+25)}}}.
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