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Algebra
Pregunta

(1 point) In the vector space \( P _ { 3 } ( R ) \...

(1 point) In the vector space \( P _ { 3 } ( R ) \) of real polynomials with degree at most \( 3 , \) the polynomials that satisfy \( p ^ { \prime } ( 0 ) = - 2 p ( 0 ) \) and \( p ^ { \prime } ( 1 ) = 6 p ( 1 ) \) form a subspace \( S \) . Find the coefficient of \( x \) and the constalt term for these two polynomials in \( S \) . Note there is no \( x ^ { 2 } \) term in the first polynomial, and no \( x ^ { 3 } \) in the second. 

Answer

Solución
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