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#### karush

##### Well-known member

- Jan 31, 2012

- 2,657

Determine if the polynomial

$3x^2+2x-1$

is the $\textbf{span}\{x^2+x-1,x^2-x+2,1\}$

ok from examples it looks like we see if there are scalars such that

$c_1(x^2+x-1)+c_2(x^2-x+2,1)=3x^2+2x-1$

so far not sure how this is turned into a simultaneous eq

$3x^2+2x-1$

is the $\textbf{span}\{x^2+x-1,x^2-x+2,1\}$

ok from examples it looks like we see if there are scalars such that

$c_1(x^2+x-1)+c_2(x^2-x+2,1)=3x^2+2x-1$

so far not sure how this is turned into a simultaneous eq

*I did notice that it is common to get over 100 views on these DE problems*

so thot it would be good to show sufficient stepsso thot it would be good to show sufficient steps

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