Determine whether the following are subspaces of P 4 (be careful!): (a) The set of polynomials in P 4 of even degree (b) The set of all polynomials of degree 3 (c) The set of all polynomials p ( x ) in P 4 such that p ( 0 ) = 0 (d) The set of all polynomials in P 4 having at leastone real root
Determine whether the following are subspaces of P 4 (be careful!): (a) The set of polynomials in P 4 of even degree (b) The set of all polynomials of degree 3 (c) The set of all polynomials p ( x ) in P 4 such that p ( 0 ) = 0 (d) The set of all polynomials in P 4 having at leastone real root
Determine whether the following are subspaces of
P
4
(be careful!): (a) The set of polynomials in
P
4
of even degree (b) The set of all polynomials of degree 3 (c) The set of all polynomials
p
(
x
)
in
P
4
such that
p
(
0
)
=
0
(d) The set of all polynomials in
P
4
having at leastone real root
A Graphical Approach to College Algebra (6th Edition)
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