consider a polynomial f(x) = ax3 + bx2 + x + 2/3 if x+3 is a factor of f(x) and if f(x) is divided by x+2 then we get remainder as 5 then find the value of a and b

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  • -3
x+3=0
x=-3
f(x)=ax3 +bx​2 +x +2/3
f(-3)=a(-3)3 +b(-3)2 +(-3) +2/3=0
      =-27a3 +9b2-3+2/3=0
     =-27a3 +9b2=-3/2+3
    =-
  • -1
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