find the polynomial in P2 whose coordinate matrix with respect to the basis

find the polynomial in P2 whose coordinate matrix with respect to the basis

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is|dw:1349421000654:dw|

\[B=\left\{ x+x ^{2} ,1+x\right\}\] this is the basis

is it gonna be B=(0,0,0) ;(0,1,1);(0,1,0)
|dw:1349421351446:dw|
|dw:1349421421254:dw|

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