Respuesta :

konrad509

[tex]p(x)=( x+3)(x^2-x+5)+2\\\\ p(x)=x^3-x^2+5x+3x^2-3x+15+2\\\\ p(x)=x^3+2x^2+2x+17[/tex]

tramserran

p(x) ÷ (x +3) = (x² - x + 5) + 3/(x + 3)

p(x) = (x + 3)(x² - x + 5) + 3                      multiplied both sides by (x + 3)

p(x) = x(x² - x + 5) + 3(x² - x + 5) + 3        multiplied (x + 3) and (x² - x + 5)  

p(x) = (x³ - x² + 5x) + (3x² - 3x + 15) + 3    distributed (x) and (3)

p(x) = x³ + 2x² + 2x + 18                             added like terms

Answer:  p(x) = x³ + 2x² + 2x + 18

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