Question

is x^3 + 2x^2 + 3x + 1 a linear combination of x^3, x^2+3x, x^2 + 1 in P4?

Answer 1

i think so

Answer 2

oh i should think before i speak

Answer 3

ok now i really think so
add them up

Answer 4

since
\[x^3+x^2+3x+x^2+1=x^3+2x^2+3x+1\] the answer is yes