Question

divide f(x) by g(x) and verify the reminder f(x)=x^3+4x^2-3x-10,g(x) =x+4

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Answer 1

${ \green{ \bold{ \underline{ANSWER}}}}$

${ \bold{Given \: \: function: - }}$

${ \pink{f(x) = {x}^{3} + 4 {x}^{2} - 3x - 10 }} \\ \\ { \pink{g(x) = x + 4}}$

${ \bold{To \: \: find \: \: remainder: - }}$

${ \bold{put \: \: x = - 4 \: \: in \: \: f(x) \: - }}$

${ \pink{f( - 4) = {( - 4)}^{3} + 4 {( - 4) }^{2} - 3( - 4) - 10}} \\ \\ { \pink{f( - 4) = 2}}$

${ \bold{Remainder}} = { \pink{ \bold{2}}}$

Answer 2

Answer:

x+4)

Step-by-step explanation:

_x^2-3________

x+4)x^3+4x^2-3x-10

x^3+4x^2

___________

-3x-10

-3x-12

_______

-22

the reminder is -22