Let P2 be the vector space of all polynomials of degree


Let P2 be the vector space of all polynomials of degree < 2. If W is the set of all<br>polynomials of the form a, + a,x + a2x² such that ao – a1 + az = 0 .<br>Determine whether W is a subspace of P2.<br>Hint, W = {(ao + a,x + a2x2)|ao – a1 + a2 = 0}.<br>-<br>

Extracted text: Let P2 be the vector space of all polynomials of degree < 2.="" if="" w="" is="" the="" set="" of="" all="" polynomials="" of="" the="" form="" a,="" +="" a,x="" +="" a2x²="" such="" that="" ao="" –="" a1="" +="" az="0" .="" determine="" whether="" w="" is="" a="" subspace="" of="" p2.="" hint,="" w="{(ao" +="" a,x="" +="" a2x2)|ao="" –="" a1="" +="" a2="0}.">

Jun 05, 2022
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