Simple question on solving a matrix: book may be wrong

Question

Not sure if we're allowed to do this here but there's a question on Schaum's Linear Algebra 6th Ed (#4.5) that I think is wrong...the question says express $v=t^2+4t-3$ as a linear combination of $$ p_1 = t^2-2t+5 \\ p_2 = 2t^2-3t\\ p_3=t+1 $$ and I set up my augmented matrix as $$ \begin{bmatrix} 1&2&0&1\\ -2&-3&1&4\\ 5&0&1&-3 \end{bmatrix} $$ but based on the answer it appears to be set up as $$ \begin{bmatrix} 1&2&0&1\\ -2&-3&1&4\\ 5&0&\bf{3}&-3 \end{bmatrix} $$ How is that bolded number 3..?