anonymous
  • anonymous
when a poly is divded by 3x-4, the qoutient is x2-x-4 and the remaider is -9. the poly functions is ?
Mathematics
jamiebookeater
  • jamiebookeater
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jim_thompson5910
  • jim_thompson5910
let f(x) and g(x) be two polynomial functions q(x) and r(x) will be the quotient and remainder respectively dividing f over g gives us \[\Large \frac{f(x)}{g(x)} = \text{Quotient} + \frac{\text{Remainder}}{g(x)}\]
jim_thompson5910
  • jim_thompson5910
we don't know f(x) we know g(x) = 3x-4 the quotient is q(x) = x^2-x-4 the remainder is r(x) = -9 \[\Large \frac{f(x)}{g(x)} = \text{Quotient} + \frac{\text{Remainder}}{g(x)}\] \[\Large \frac{f(x)}{g(x)} = q(x) + \frac{r(x)}{g(x)}\] \[\Large \frac{f(x)}{3x-4} = x^2-x-4 + \frac{-9}{3x-4}\] do you see how to isolate f(x) from here?

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