Question 1155595


{{{ h(x)=4x^2+15x^3-10x+2 }}}....rearrange terms
 
{{{ h(x)=15x^3+4x^2-10x+2 }}}


Express {{{h(x)}}} in the form {{{h(x)=q(x)(x+3)+r }}}where {{{q(x)}}} is a polynomial and {{{r}}} is a number. 


...........({{{15x^2-41x+113}}}
{{{(x+3)}}}|{{{15x^3+4x^2-10x+2 }}}
...........{{{15x^3+45x^2}}}
................{{{-41x^2-10x}}}
................{{{-41x^2-123x}}}
.......................{{{113x+2}}}
.......................{{{113x+339}}}
...........................{{{-337}}}

{{{q(x)=15x^2-41x+113}}} is a polynomial and {{{r=-337}}} 

{{{h(x)=(15x^2-41x+113)(x+3)-337 }}}