Respuesta :
Answer: Quotient will be
[tex]2x^3+x^2-4x+3[/tex]
Explanation:
Since we have given that
[tex]f(x)=2x^4-3x^3-6x^2+11x+8[/tex]
And
[tex]g(x)=x-2[/tex]
We need to divide the f(x) by g(x),
[tex]f(x)=g(x)\times (2x^3+x^2-4x+3)+16[/tex]
If we equate the above equation with division algorithm which says,
[tex]a=bq+r\\here,\\\\f(x)=g(x)\times q(x)+r(x)[/tex]
so, Quotient will be
[tex]2x^3+x^2-4x+3[/tex]
