Find the remainder when x+2 is divided by 3x^2 - 9x +4
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\sf{p(x) = 2 {x}^{3} + 3 {x}^{2} - 9x + 4}p(x)=2x
3
+3x
2
−9x+4
\sf{g(x) = 2x - 1}g(x)=2x−1
We have to find the quotient and remainder.
Now after dividing p(x) by g(x) we can get the values of each.
The process of division is in the attachment.
Therefore, after dividing we get,
\boxed{ \sf{Quotient = {x}^{2} + 2x - \frac{7}{2}} }
Quotient=x
2
+2x−
2
7
\boxed{ \sf{Remainder = \frac{1}{2} }}
Remainder=
2
1
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