Question 925901


Express f(x) in the form f(x)=(x-k)q(x)+r for the given value k?


{{{f(x)=x^3 +6x^2 +10x+4}}},{{{k=-2}}}

{{{f(x)=(x-(-2))(___)+_____}}}

{{{f(x)=(x+2)(___)+_____}}}



 _________________
2){{{1}}}. .{{{6}}}. .{{{10}}}. ..{{{4}}}
. ___{{{2}}}__{{{8}}}___{{{4}}}__{{{0}}}___
. {{{1}}}. .{{{4}}}. . {{{2}}}. .....{{{0}}}.  <== remainder "r"

coefficients:
{{{1}}}. .{{{4}}}. . {{{2}}}.. means {{{q(x) = x^2 + 4x +2}}}

{{{f(x) = (x +2)(x^2 + 4x +2)}}}  <==ANSWER