Respuesta :
2x^3+x^2-2x+8 / x+2=
2x^2-3x+4
2x3+x2−2x+8 / x + 2=
6x+8 over x+2
Answer:
Quotient = [tex]2x^2 - 3x +4[/tex]
Remainder = 0
Step-by-step explanation:
Here, the given expression,
[tex]{2x^3 + x^2 - 2x + 8}\div {x + 2}[/tex]
By the long division, ( shown below )
We get,
[tex]\frac{2x^3 + x^2 - 2x + 8}{x + 2}=(2x^2 - 3x + 4)\times (x+2) +0[/tex]
Since,
Dividend = Quotient × Divisor + Remainder
Hence,
Quotient = [tex]2x^2 - 3x +4[/tex]
Remainder = 0
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